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Finding the Fourth Proportional to 7,171.47, 10,737.75 and 3,701.43

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Solution

The fourth proportional to 7,171.47, 10,737.75 and 3,701.43 is: 5,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.47 : 10,737.75 = 3,701.43 : x
  2. Step 2: Convert to fraction form
    7,171.47/10,737.75 = 3,701.43/x
  3. Step 3: Cross multiply
    7,171.47x = 10,737.75 × 3,701.43
  4. Step 4: Simplify right side
    7,171.47x = 39,745,029.98
  5. Step 5: Solve for x
    x = 39,745,029.98/7,171.47
  6. Step 6: Final answer
    x = 5,542.10

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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.