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Finding the Fourth Proportional to 8,177.96, 12,258.42 and 3,791.80

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Solution

The fourth proportional to 8,177.96, 12,258.42 and 3,791.80 is: 5,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.96 : 12,258.42 = 3,791.80 : x
  2. Step 2: Convert to fraction form
    8,177.96/12,258.42 = 3,791.80/x
  3. Step 3: Cross multiply
    8,177.96x = 12,258.42 × 3,791.80
  4. Step 4: Simplify right side
    8,177.96x = 46,481,476.96
  5. Step 5: Solve for x
    x = 46,481,476.96/8,177.96
  6. Step 6: Final answer
    x = 5,683.75

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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.