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Finding the Fourth Proportional to 10,487.52, 15,736.73 and 9,882.45

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Solution

The fourth proportional to 10,487.52, 15,736.73 and 9,882.45 is: 14,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.52 : 15,736.73 = 9,882.45 : x
  2. Step 2: Convert to fraction form
    10,487.52/15,736.73 = 9,882.45/x
  3. Step 3: Cross multiply
    10,487.52x = 15,736.73 × 9,882.45
  4. Step 4: Simplify right side
    10,487.52x = 155,517,397.98
  5. Step 5: Solve for x
    x = 155,517,397.98/10,487.52
  6. Step 6: Final answer
    x = 14,828.81

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Why These Related Problems?

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