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Finding the Fourth Proportional to 8,129.45, 12,189.24 and 3,193.18

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Solution

The fourth proportional to 8,129.45, 12,189.24 and 3,193.18 is: 4,787.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.45 : 12,189.24 = 3,193.18 : x
  2. Step 2: Convert to fraction form
    8,129.45/12,189.24 = 3,193.18/x
  3. Step 3: Cross multiply
    8,129.45x = 12,189.24 × 3,193.18
  4. Step 4: Simplify right side
    8,129.45x = 38,922,406.91
  5. Step 5: Solve for x
    x = 38,922,406.91/8,129.45
  6. Step 6: Final answer
    x = 4,787.83

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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.