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Finding the Fourth Proportional to 8,543.28, 12,805.20 and 3,866.88

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Solution

The fourth proportional to 8,543.28, 12,805.20 and 3,866.88 is: 5,795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.28 : 12,805.20 = 3,866.88 : x
  2. Step 2: Convert to fraction form
    8,543.28/12,805.20 = 3,866.88/x
  3. Step 3: Cross multiply
    8,543.28x = 12,805.20 × 3,866.88
  4. Step 4: Simplify right side
    8,543.28x = 49,516,171.78
  5. Step 5: Solve for x
    x = 49,516,171.78/8,543.28
  6. Step 6: Final answer
    x = 5,795.92

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