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Finding the Fourth Proportional to 8,116.81, 12,182.12 and 3,189.90

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Solution

The fourth proportional to 8,116.81, 12,182.12 and 3,189.90 is: 4,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.81 : 12,182.12 = 3,189.90 : x
  2. Step 2: Convert to fraction form
    8,116.81/12,182.12 = 3,189.90/x
  3. Step 3: Cross multiply
    8,116.81x = 12,182.12 × 3,189.90
  4. Step 4: Simplify right side
    8,116.81x = 38,859,744.59
  5. Step 5: Solve for x
    x = 38,859,744.59/8,116.81
  6. Step 6: Final answer
    x = 4,787.56

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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.