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Finding the Fourth Proportional to 8,086.62, 12,129.86 and 2,243.22

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Solution

The fourth proportional to 8,086.62, 12,129.86 and 2,243.22 is: 3,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.62 : 12,129.86 = 2,243.22 : x
  2. Step 2: Convert to fraction form
    8,086.62/12,129.86 = 2,243.22/x
  3. Step 3: Cross multiply
    8,086.62x = 12,129.86 × 2,243.22
  4. Step 4: Simplify right side
    8,086.62x = 27,209,944.55
  5. Step 5: Solve for x
    x = 27,209,944.55/8,086.62
  6. Step 6: Final answer
    x = 3,364.81

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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.