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Finding the Fourth Proportional to 8,122.87, 11,211.34 and 5,142.68

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Solution

The fourth proportional to 8,122.87, 11,211.34 and 5,142.68 is: 7,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.87 : 11,211.34 = 5,142.68 : x
  2. Step 2: Convert to fraction form
    8,122.87/11,211.34 = 5,142.68/x
  3. Step 3: Cross multiply
    8,122.87x = 11,211.34 × 5,142.68
  4. Step 4: Simplify right side
    8,122.87x = 57,656,265.08
  5. Step 5: Solve for x
    x = 57,656,265.08/8,122.87
  6. Step 6: Final answer
    x = 7,098.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.