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Finding the Fourth Proportional to 6,737.87, 10,102.40 and 3,227.77

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Solution

The fourth proportional to 6,737.87, 10,102.40 and 3,227.77 is: 4,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.87 : 10,102.40 = 3,227.77 : x
  2. Step 2: Convert to fraction form
    6,737.87/10,102.40 = 3,227.77/x
  3. Step 3: Cross multiply
    6,737.87x = 10,102.40 × 3,227.77
  4. Step 4: Simplify right side
    6,737.87x = 32,608,193.57
  5. Step 5: Solve for x
    x = 32,608,193.57/6,737.87
  6. Step 6: Final answer
    x = 4,839.54

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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.