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Finding the Fourth Proportional to 8,074.70, 12,112.05 and 2,231.31

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Solution

The fourth proportional to 8,074.70, 12,112.05 and 2,231.31 is: 3,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.70 : 12,112.05 = 2,231.31 : x
  2. Step 2: Convert to fraction form
    8,074.70/12,112.05 = 2,231.31/x
  3. Step 3: Cross multiply
    8,074.70x = 12,112.05 × 2,231.31
  4. Step 4: Simplify right side
    8,074.70x = 27,025,729.92
  5. Step 5: Solve for x
    x = 27,025,729.92/8,074.70
  6. Step 6: Final answer
    x = 3,346.96

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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.