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Finding the Fourth Proportional to 11,342.52, 15,641.28 and 7,565.76

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Solution

The fourth proportional to 11,342.52, 15,641.28 and 7,565.76 is: 10,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.52 : 15,641.28 = 7,565.76 : x
  2. Step 2: Convert to fraction form
    11,342.52/15,641.28 = 7,565.76/x
  3. Step 3: Cross multiply
    11,342.52x = 15,641.28 × 7,565.76
  4. Step 4: Simplify right side
    11,342.52x = 118,338,170.57
  5. Step 5: Solve for x
    x = 118,338,170.57/11,342.52
  6. Step 6: Final answer
    x = 10,433.15

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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.