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Finding the Fourth Proportional to 8,227.87, 12,336.33 and 4,531.84

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Solution

The fourth proportional to 8,227.87, 12,336.33 and 4,531.84 is: 6,794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.87 : 12,336.33 = 4,531.84 : x
  2. Step 2: Convert to fraction form
    8,227.87/12,336.33 = 4,531.84/x
  3. Step 3: Cross multiply
    8,227.87x = 12,336.33 × 4,531.84
  4. Step 4: Simplify right side
    8,227.87x = 55,906,273.75
  5. Step 5: Solve for x
    x = 55,906,273.75/8,227.87
  6. Step 6: Final answer
    x = 6,794.74

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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.