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Finding the Fourth Proportional to 8,286.35, 12,427.29 and 2,361.92

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Solution

The fourth proportional to 8,286.35, 12,427.29 and 2,361.92 is: 3,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.35 : 12,427.29 = 2,361.92 : x
  2. Step 2: Convert to fraction form
    8,286.35/12,427.29 = 2,361.92/x
  3. Step 3: Cross multiply
    8,286.35x = 12,427.29 × 2,361.92
  4. Step 4: Simplify right side
    8,286.35x = 29,352,202.66
  5. Step 5: Solve for x
    x = 29,352,202.66/8,286.35
  6. Step 6: Final answer
    x = 3,542.24

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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.