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Finding the Fourth Proportional to 10,487.40, 15,716.27 and 5,809.56

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Solution

The fourth proportional to 10,487.40, 15,716.27 and 5,809.56 is: 8,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.40 : 15,716.27 = 5,809.56 : x
  2. Step 2: Convert to fraction form
    10,487.40/15,716.27 = 5,809.56/x
  3. Step 3: Cross multiply
    10,487.40x = 15,716.27 × 5,809.56
  4. Step 4: Simplify right side
    10,487.40x = 91,304,613.54
  5. Step 5: Solve for x
    x = 91,304,613.54/10,487.40
  6. Step 6: Final answer
    x = 8,706.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.