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Finding the Fourth Proportional to 7,127.52, 10,695.86 and 3,842.90

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Solution

The fourth proportional to 7,127.52, 10,695.86 and 3,842.90 is: 5,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.52 : 10,695.86 = 3,842.90 : x
  2. Step 2: Convert to fraction form
    7,127.52/10,695.86 = 3,842.90/x
  3. Step 3: Cross multiply
    7,127.52x = 10,695.86 × 3,842.90
  4. Step 4: Simplify right side
    7,127.52x = 41,103,123.84
  5. Step 5: Solve for x
    x = 41,103,123.84/7,127.52
  6. Step 6: Final answer
    x = 5,766.82

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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.