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Finding the Fourth Proportional to 8,149.73, 11,256.78 and 6,283.96

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Solution

The fourth proportional to 8,149.73, 11,256.78 and 6,283.96 is: 8,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.73 : 11,256.78 = 6,283.96 : x
  2. Step 2: Convert to fraction form
    8,149.73/11,256.78 = 6,283.96/x
  3. Step 3: Cross multiply
    8,149.73x = 11,256.78 × 6,283.96
  4. Step 4: Simplify right side
    8,149.73x = 70,737,155.25
  5. Step 5: Solve for x
    x = 70,737,155.25/8,149.73
  6. Step 6: Final answer
    x = 8,679.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.