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Finding the Fourth Proportional to 8,138.70, 12,208.05 and 8,081.10

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Solution

The fourth proportional to 8,138.70, 12,208.05 and 8,081.10 is: 12,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.70 : 12,208.05 = 8,081.10 : x
  2. Step 2: Convert to fraction form
    8,138.70/12,208.05 = 8,081.10/x
  3. Step 3: Cross multiply
    8,138.70x = 12,208.05 × 8,081.10
  4. Step 4: Simplify right side
    8,138.70x = 98,654,472.86
  5. Step 5: Solve for x
    x = 98,654,472.86/8,138.70
  6. Step 6: Final answer
    x = 12,121.65

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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.