Upgrade to iPhone 5 and iTunes 10.7 rain my parade

I have old iPhone backup in with my iTunes 10.6.1
How to restore my contact since iPhone 5 need iTunes 10.7 and I am using Mac OS X 10.5.8 which not able to install the iTunes 10.7
PS:
When I try to update my iTunes it suggested it is current.
When I installed iTunes 10.7 dmg manually it said "This software requires Mac OS X version 10.6.8 or later."
How to install iTunes by ignoring this OS checked? Or how to restore my contact to my new iPhone 5
I think I do not want to upgrade my OS or my Macbook because this Mac is still working fine and I have no reason to upgrade it.
Thanks So much

So strange iTunes 10.7 requirement 
Macintosh System Requirements
Mac computer with an Intel Core processor and 512MB of RAM
OS X version 10.6.8 or later
Safari 4.0.3 or later
400MB of available disk space
Broadband Internet connection to use the iTunes Store
Windows System Requirements
PC with a 1GHz Intel or AMD processor and 512MB of RAM
Windows XP Service Pack 2 or later, 32-bit editions of Windows Vista or Windows 7
64-bit editions of Windows Vista or Windows 7 require the iTunes 64-bit installer
250MB of available disk space
Broadband Internet connection to use the iTunes Store
iTunes 10.7 support very old XP SP2 but not supporting Apple's own product Mac OS X 10.5.8?

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