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Finding the Fourth Proportional to 8,117.28, 12,169.22 and 3,440.97

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Solution

The fourth proportional to 8,117.28, 12,169.22 and 3,440.97 is: 5,158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.28 : 12,169.22 = 3,440.97 : x
  2. Step 2: Convert to fraction form
    8,117.28/12,169.22 = 3,440.97/x
  3. Step 3: Cross multiply
    8,117.28x = 12,169.22 × 3,440.97
  4. Step 4: Simplify right side
    8,117.28x = 41,873,903.74
  5. Step 5: Solve for x
    x = 41,873,903.74/8,117.28
  6. Step 6: Final answer
    x = 5,158.61

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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.