1. **State the problem:** Calculate the sum of 4967.83 and 7489. 2. **Formula used:** Addition of decimal numbers is done by aligning the decimal points and adding corresponding digits. 3. **Perform the addition:** $$4967.83 + 7489 = ?$$ 4. **Add the numbers:** $$4967.83 + 7489 = 12456.83$$ 5. **Explanation:** We add the whole numbers 4967 and 7489 to get 12456, then add the decimal part .83 which remains unchanged since 7489 has no decimal part. **Final answer:** $$\boxed{12456.83}$$