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Finding the Fourth Proportional to 10,740.92, 14,815.65 and 7,761.13

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Solution

The fourth proportional to 10,740.92, 14,815.65 and 7,761.13 is: 10,705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740.92 : 14,815.65 = 7,761.13 : x
  2. Step 2: Convert to fraction form
    10,740.92/14,815.65 = 7,761.13/x
  3. Step 3: Cross multiply
    10,740.92x = 14,815.65 × 7,761.13
  4. Step 4: Simplify right side
    10,740.92x = 114,986,185.68
  5. Step 5: Solve for x
    x = 114,986,185.68/10,740.92
  6. Step 6: Final answer
    x = 10,705.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.