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Finding the Fourth Proportional to 8,134.44, 12,205.68 and 3,754.92

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Solution

The fourth proportional to 8,134.44, 12,205.68 and 3,754.92 is: 5,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.44 : 12,205.68 = 3,754.92 : x
  2. Step 2: Convert to fraction form
    8,134.44/12,205.68 = 3,754.92/x
  3. Step 3: Cross multiply
    8,134.44x = 12,205.68 × 3,754.92
  4. Step 4: Simplify right side
    8,134.44x = 45,831,351.95
  5. Step 5: Solve for x
    x = 45,831,351.95/8,134.44
  6. Step 6: Final answer
    x = 5,634.24

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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.