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Finding the Fourth Proportional to 10,432.37, 14,397 and 5,717.09

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Solution

The fourth proportional to 10,432.37, 14,397 and 5,717.09 is: 7,889.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.37 : 14,397 = 5,717.09 : x
  2. Step 2: Convert to fraction form
    10,432.37/14,397 = 5,717.09/x
  3. Step 3: Cross multiply
    10,432.37x = 14,397 × 5,717.09
  4. Step 4: Simplify right side
    10,432.37x = 82,308,944.73
  5. Step 5: Solve for x
    x = 82,308,944.73/10,432.37
  6. Step 6: Final answer
    x = 7,889.76

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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.