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Finding the Fourth Proportional to 10,325.43, 15,468.23 and 6,168.76

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Solution

The fourth proportional to 10,325.43, 15,468.23 and 6,168.76 is: 9,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.43 : 15,468.23 = 6,168.76 : x
  2. Step 2: Convert to fraction form
    10,325.43/15,468.23 = 6,168.76/x
  3. Step 3: Cross multiply
    10,325.43x = 15,468.23 × 6,168.76
  4. Step 4: Simplify right side
    10,325.43x = 95,419,775.25
  5. Step 5: Solve for x
    x = 95,419,775.25/10,325.43
  6. Step 6: Final answer
    x = 9,241.24

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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.