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Finding the Fourth Proportional to 8,171.87, 12,256.18 and 2,247.22

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Solution

The fourth proportional to 8,171.87, 12,256.18 and 2,247.22 is: 3,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.87 : 12,256.18 = 2,247.22 : x
  2. Step 2: Convert to fraction form
    8,171.87/12,256.18 = 2,247.22/x
  3. Step 3: Cross multiply
    8,171.87x = 12,256.18 × 2,247.22
  4. Step 4: Simplify right side
    8,171.87x = 27,542,332.82
  5. Step 5: Solve for x
    x = 27,542,332.82/8,171.87
  6. Step 6: Final answer
    x = 3,370.38

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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.