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Finding the Fourth Proportional to 6,697.38, 10,052.27 and 3,412.92

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Solution

The fourth proportional to 6,697.38, 10,052.27 and 3,412.92 is: 5,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.38 : 10,052.27 = 3,412.92 : x
  2. Step 2: Convert to fraction form
    6,697.38/10,052.27 = 3,412.92/x
  3. Step 3: Cross multiply
    6,697.38x = 10,052.27 × 3,412.92
  4. Step 4: Simplify right side
    6,697.38x = 34,307,593.33
  5. Step 5: Solve for x
    x = 34,307,593.33/6,697.38
  6. Step 6: Final answer
    x = 5,122.54

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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.