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Finding the Fourth Proportional to 10,432.54, 15,647.34 and 3,857.62

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Solution

The fourth proportional to 10,432.54, 15,647.34 and 3,857.62 is: 5,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.54 : 15,647.34 = 3,857.62 : x
  2. Step 2: Convert to fraction form
    10,432.54/15,647.34 = 3,857.62/x
  3. Step 3: Cross multiply
    10,432.54x = 15,647.34 × 3,857.62
  4. Step 4: Simplify right side
    10,432.54x = 60,361,491.73
  5. Step 5: Solve for x
    x = 60,361,491.73/10,432.54
  6. Step 6: Final answer
    x = 5,785.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.