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Finding the Fourth Proportional to 10,431.53, 14,395.17 and 5,715.71

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Solution

The fourth proportional to 10,431.53, 14,395.17 and 5,715.71 is: 7,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.53 : 14,395.17 = 5,715.71 : x
  2. Step 2: Convert to fraction form
    10,431.53/14,395.17 = 5,715.71/x
  3. Step 3: Cross multiply
    10,431.53x = 14,395.17 × 5,715.71
  4. Step 4: Simplify right side
    10,431.53x = 82,278,516.57
  5. Step 5: Solve for x
    x = 82,278,516.57/10,431.53
  6. Step 6: Final answer
    x = 7,887.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.