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Finding the Fourth Proportional to 8,542.65, 11,789.15 and 4,957.34

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Solution

The fourth proportional to 8,542.65, 11,789.15 and 4,957.34 is: 6,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.65 : 11,789.15 = 4,957.34 : x
  2. Step 2: Convert to fraction form
    8,542.65/11,789.15 = 4,957.34/x
  3. Step 3: Cross multiply
    8,542.65x = 11,789.15 × 4,957.34
  4. Step 4: Simplify right side
    8,542.65x = 58,442,824.86
  5. Step 5: Solve for x
    x = 58,442,824.86/8,542.65
  6. Step 6: Final answer
    x = 6,841.30

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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.