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Finding the Fourth Proportional to 11,497.28, 15,866.08 and 6,781.92

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Solution

The fourth proportional to 11,497.28, 15,866.08 and 6,781.92 is: 9,358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.28 : 15,866.08 = 6,781.92 : x
  2. Step 2: Convert to fraction form
    11,497.28/15,866.08 = 6,781.92/x
  3. Step 3: Cross multiply
    11,497.28x = 15,866.08 × 6,781.92
  4. Step 4: Simplify right side
    11,497.28x = 107,602,485.27
  5. Step 5: Solve for x
    x = 107,602,485.27/11,497.28
  6. Step 6: Final answer
    x = 9,358.95

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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.