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Finding the Fourth Proportional to 12,096.75, 16,693.52 and 6,791.57

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Solution

The fourth proportional to 12,096.75, 16,693.52 and 6,791.57 is: 9,372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.75 : 16,693.52 = 6,791.57 : x
  2. Step 2: Convert to fraction form
    12,096.75/16,693.52 = 6,791.57/x
  3. Step 3: Cross multiply
    12,096.75x = 16,693.52 × 6,791.57
  4. Step 4: Simplify right side
    12,096.75x = 113,375,092.20
  5. Step 5: Solve for x
    x = 113,375,092.20/12,096.75
  6. Step 6: Final answer
    x = 9,372.36

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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.