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Finding the Fourth Proportional to 11,262.38, 15,542.09 and 6,294.38

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Solution

The fourth proportional to 11,262.38, 15,542.09 and 6,294.38 is: 8,686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.38 : 15,542.09 = 6,294.38 : x
  2. Step 2: Convert to fraction form
    11,262.38/15,542.09 = 6,294.38/x
  3. Step 3: Cross multiply
    11,262.38x = 15,542.09 × 6,294.38
  4. Step 4: Simplify right side
    11,262.38x = 97,827,711.27
  5. Step 5: Solve for x
    x = 97,827,711.27/11,262.38
  6. Step 6: Final answer
    x = 8,686.24

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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.