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Finding the Fourth Proportional to 7,143.10, 10,715.91 and 2,463.61

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Solution

The fourth proportional to 7,143.10, 10,715.91 and 2,463.61 is: 3,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.10 : 10,715.91 = 2,463.61 : x
  2. Step 2: Convert to fraction form
    7,143.10/10,715.91 = 2,463.61/x
  3. Step 3: Cross multiply
    7,143.10x = 10,715.91 × 2,463.61
  4. Step 4: Simplify right side
    7,143.10x = 26,399,823.04
  5. Step 5: Solve for x
    x = 26,399,823.04/7,143.10
  6. Step 6: Final answer
    x = 3,695.85

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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.