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Finding the Fourth Proportional to 8,086.16, 12,129.24 and 2,242.77

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Solution

The fourth proportional to 8,086.16, 12,129.24 and 2,242.77 is: 3,364.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.16 : 12,129.24 = 2,242.77 : x
  2. Step 2: Convert to fraction form
    8,086.16/12,129.24 = 2,242.77/x
  3. Step 3: Cross multiply
    8,086.16x = 12,129.24 × 2,242.77
  4. Step 4: Simplify right side
    8,086.16x = 27,203,023.73
  5. Step 5: Solve for x
    x = 27,203,023.73/8,086.16
  6. Step 6: Final answer
    x = 3,364.15

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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.