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Finding the Fourth Proportional to 8,156.85, 12,231.09 and 3,990.57

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Solution

The fourth proportional to 8,156.85, 12,231.09 and 3,990.57 is: 5,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.85 : 12,231.09 = 3,990.57 : x
  2. Step 2: Convert to fraction form
    8,156.85/12,231.09 = 3,990.57/x
  3. Step 3: Cross multiply
    8,156.85x = 12,231.09 × 3,990.57
  4. Step 4: Simplify right side
    8,156.85x = 48,809,020.82
  5. Step 5: Solve for x
    x = 48,809,020.82/8,156.85
  6. Step 6: Final answer
    x = 5,983.81

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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.