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Finding the Fourth Proportional to 7,147.44, 10,727.71 and 3,639.87

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Solution

The fourth proportional to 7,147.44, 10,727.71 and 3,639.87 is: 5,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.44 : 10,727.71 = 3,639.87 : x
  2. Step 2: Convert to fraction form
    7,147.44/10,727.71 = 3,639.87/x
  3. Step 3: Cross multiply
    7,147.44x = 10,727.71 × 3,639.87
  4. Step 4: Simplify right side
    7,147.44x = 39,047,469.80
  5. Step 5: Solve for x
    x = 39,047,469.80/7,147.44
  6. Step 6: Final answer
    x = 5,463.14

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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.