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Finding the Fourth Proportional to 8,223.71, 11,348.77 and 4,446.87

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Solution

The fourth proportional to 8,223.71, 11,348.77 and 4,446.87 is: 6,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.71 : 11,348.77 = 4,446.87 : x
  2. Step 2: Convert to fraction form
    8,223.71/11,348.77 = 4,446.87/x
  3. Step 3: Cross multiply
    8,223.71x = 11,348.77 × 4,446.87
  4. Step 4: Simplify right side
    8,223.71x = 50,466,504.85
  5. Step 5: Solve for x
    x = 50,466,504.85/8,223.71
  6. Step 6: Final answer
    x = 6,136.71

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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.