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Finding the Fourth Proportional to 7,468.70, 11,197.87 and 3,306.44

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Solution

The fourth proportional to 7,468.70, 11,197.87 and 3,306.44 is: 4,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.70 : 11,197.87 = 3,306.44 : x
  2. Step 2: Convert to fraction form
    7,468.70/11,197.87 = 3,306.44/x
  3. Step 3: Cross multiply
    7,468.70x = 11,197.87 × 3,306.44
  4. Step 4: Simplify right side
    7,468.70x = 37,025,099.91
  5. Step 5: Solve for x
    x = 37,025,099.91/7,468.70
  6. Step 6: Final answer
    x = 4,957.37

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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.