1. **Problem statement:** The number of tigers in India in 2014 is approximately 30.48% greater than in 2010. We need to find the number of tigers in 2010, given the 2014 number. 2. **Understanding the problem:** If the number of tigers in 2010 is $x$, then the number in 2014 is $x$ increased by 30.48% of $x$. 3. **Formula:** Increase by a percentage is given by: $$\text{New amount} = \text{Original amount} \times \left(1 + \frac{\text{percentage increase}}{100}\right)$$ 4. **Applying the formula:** Let the number of tigers in 2010 be $x$. Then, $$\text{Number in 2014} = x \times \left(1 + \frac{30.48}{100}\right) = x \times 1.3048$$ 5. **Given:** Number in 2014 is approximately 6789 (from the handwritten numbers). 6. **Set up the equation:** $$6789 = 1.3048 \times x$$ 7. **Solve for $x$:** $$x = \frac{6789}{1.3048}$$ 8. **Calculate:** $$x \approx 5202.7$$ 9. **Final answer:** Rounded to the nearest integer, $$\boxed{5203}$$ This means there were approximately 5203 tigers in India in 2010.