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Finding the Fourth Proportional to 10,257.50, 15,375.24 and 5,325.92

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Solution

The fourth proportional to 10,257.50, 15,375.24 and 5,325.92 is: 7,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.50 : 15,375.24 = 5,325.92 : x
  2. Step 2: Convert to fraction form
    10,257.50/15,375.24 = 5,325.92/x
  3. Step 3: Cross multiply
    10,257.50x = 15,375.24 × 5,325.92
  4. Step 4: Simplify right side
    10,257.50x = 81,887,298.22
  5. Step 5: Solve for x
    x = 81,887,298.22/10,257.50
  6. Step 6: Final answer
    x = 7,983.16

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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.