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Finding the Fourth Proportional to 8,103.82, 12,155.32 and 3,174.36

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Solution

The fourth proportional to 8,103.82, 12,155.32 and 3,174.36 is: 4,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.82 : 12,155.32 = 3,174.36 : x
  2. Step 2: Convert to fraction form
    8,103.82/12,155.32 = 3,174.36/x
  3. Step 3: Cross multiply
    8,103.82x = 12,155.32 × 3,174.36
  4. Step 4: Simplify right side
    8,103.82x = 38,585,361.60
  5. Step 5: Solve for x
    x = 38,585,361.60/8,103.82
  6. Step 6: Final answer
    x = 4,761.38

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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.