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Finding the Fourth Proportional to 10,231.56, 15,321.96 and 8,387.28

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Solution

The fourth proportional to 10,231.56, 15,321.96 and 8,387.28 is: 12,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.56 : 15,321.96 = 8,387.28 : x
  2. Step 2: Convert to fraction form
    10,231.56/15,321.96 = 8,387.28/x
  3. Step 3: Cross multiply
    10,231.56x = 15,321.96 × 8,387.28
  4. Step 4: Simplify right side
    10,231.56x = 128,509,568.67
  5. Step 5: Solve for x
    x = 128,509,568.67/10,231.56
  6. Step 6: Final answer
    x = 12,560.11

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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.