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Finding the Fourth Proportional to 10,431.52, 14,395.52 and 5,715.83

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Solution

The fourth proportional to 10,431.52, 14,395.52 and 5,715.83 is: 7,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.52 : 14,395.52 = 5,715.83 : x
  2. Step 2: Convert to fraction form
    10,431.52/14,395.52 = 5,715.83/x
  3. Step 3: Cross multiply
    10,431.52x = 14,395.52 × 5,715.83
  4. Step 4: Simplify right side
    10,431.52x = 82,282,395.36
  5. Step 5: Solve for x
    x = 82,282,395.36/10,431.52
  6. Step 6: Final answer
    x = 7,887.86

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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.