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Finding the Fourth Proportional to 10,536.92, 14,542.72 and 7,132.38

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Solution

The fourth proportional to 10,536.92, 14,542.72 and 7,132.38 is: 9,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.92 : 14,542.72 = 7,132.38 : x
  2. Step 2: Convert to fraction form
    10,536.92/14,542.72 = 7,132.38/x
  3. Step 3: Cross multiply
    10,536.92x = 14,542.72 × 7,132.38
  4. Step 4: Simplify right side
    10,536.92x = 103,724,205.27
  5. Step 5: Solve for x
    x = 103,724,205.27/10,536.92
  6. Step 6: Final answer
    x = 9,843.88

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Why These Related Problems?

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