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Finding the Fourth Proportional to 10,432.72, 14,397.17 and 5,717

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Solution

The fourth proportional to 10,432.72, 14,397.17 and 5,717 is: 7,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.72 : 14,397.17 = 5,717 : x
  2. Step 2: Convert to fraction form
    10,432.72/14,397.17 = 5,717/x
  3. Step 3: Cross multiply
    10,432.72x = 14,397.17 × 5,717
  4. Step 4: Simplify right side
    10,432.72x = 82,308,620.89
  5. Step 5: Solve for x
    x = 82,308,620.89/10,432.72
  6. Step 6: Final answer
    x = 7,889.47

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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.