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Finding the Fourth Proportional to 8,166.26, 12,230.24 and 3,993.20

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Solution

The fourth proportional to 8,166.26, 12,230.24 and 3,993.20 is: 5,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.26 : 12,230.24 = 3,993.20 : x
  2. Step 2: Convert to fraction form
    8,166.26/12,230.24 = 3,993.20/x
  3. Step 3: Cross multiply
    8,166.26x = 12,230.24 × 3,993.20
  4. Step 4: Simplify right side
    8,166.26x = 48,837,713.25
  5. Step 5: Solve for x
    x = 48,837,713.25/8,166.26
  6. Step 6: Final answer
    x = 5,980.43

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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.