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Finding the Fourth Proportional to 8,151.68, 12,227.44 and 3,223.60

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Solution

The fourth proportional to 8,151.68, 12,227.44 and 3,223.60 is: 4,835.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.68 : 12,227.44 = 3,223.60 : x
  2. Step 2: Convert to fraction form
    8,151.68/12,227.44 = 3,223.60/x
  3. Step 3: Cross multiply
    8,151.68x = 12,227.44 × 3,223.60
  4. Step 4: Simplify right side
    8,151.68x = 39,416,375.58
  5. Step 5: Solve for x
    x = 39,416,375.58/8,151.68
  6. Step 6: Final answer
    x = 4,835.37

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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.