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Finding the Fourth Proportional to 10,216.44, 15,353.82 and 5,025.96

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Solution

The fourth proportional to 10,216.44, 15,353.82 and 5,025.96 is: 7,553.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.44 : 15,353.82 = 5,025.96 : x
  2. Step 2: Convert to fraction form
    10,216.44/15,353.82 = 5,025.96/x
  3. Step 3: Cross multiply
    10,216.44x = 15,353.82 × 5,025.96
  4. Step 4: Simplify right side
    10,216.44x = 77,167,685.17
  5. Step 5: Solve for x
    x = 77,167,685.17/10,216.44
  6. Step 6: Final answer
    x = 7,553.29

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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.