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Finding the Fourth Proportional to 10,406.52, 14,364 and 5,932.71

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Solution

The fourth proportional to 10,406.52, 14,364 and 5,932.71 is: 8,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.52 : 14,364 = 5,932.71 : x
  2. Step 2: Convert to fraction form
    10,406.52/14,364 = 5,932.71/x
  3. Step 3: Cross multiply
    10,406.52x = 14,364 × 5,932.71
  4. Step 4: Simplify right side
    10,406.52x = 85,217,446.44
  5. Step 5: Solve for x
    x = 85,217,446.44/10,406.52
  6. Step 6: Final answer
    x = 8,188.85

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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.