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Finding the Fourth Proportional to 10,396.14, 15,600.54 and 5,469.30

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Solution

The fourth proportional to 10,396.14, 15,600.54 and 5,469.30 is: 8,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.14 : 15,600.54 = 5,469.30 : x
  2. Step 2: Convert to fraction form
    10,396.14/15,600.54 = 5,469.30/x
  3. Step 3: Cross multiply
    10,396.14x = 15,600.54 × 5,469.30
  4. Step 4: Simplify right side
    10,396.14x = 85,324,033.42
  5. Step 5: Solve for x
    x = 85,324,033.42/10,396.14
  6. Step 6: Final answer
    x = 8,207.28

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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.