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Finding the Fourth Proportional to 7,639.17, 11,463.84 and 3,139.92

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Solution

The fourth proportional to 7,639.17, 11,463.84 and 3,139.92 is: 4,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.17 : 11,463.84 = 3,139.92 : x
  2. Step 2: Convert to fraction form
    7,639.17/11,463.84 = 3,139.92/x
  3. Step 3: Cross multiply
    7,639.17x = 11,463.84 × 3,139.92
  4. Step 4: Simplify right side
    7,639.17x = 35,995,552.27
  5. Step 5: Solve for x
    x = 35,995,552.27/7,639.17
  6. Step 6: Final answer
    x = 4,711.97

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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.