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No its a V8 in the RS4. The V10 is in the S8 as an option.
V10 was actually in the S6 and S8 of the era, but to say it was a derivative of the Lamborghini is a bit of a stretch. Yes, they are both 5.2L, but have unique heads, cylinder bore, valves, injection, etc. But I digress.
Regardless, congrats on picking up a great little car. I've driven both the 2007 RS4 and 2010 S4, and while the S is better on paper, the RS is much more of a thrilling/visceral drive. Just get ready for some nose-heavy understeer.