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Finding the Fourth Proportional to 6,954.38, 10,419.37 and 5,791.86

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Solution

The fourth proportional to 6,954.38, 10,419.37 and 5,791.86 is: 8,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.38 : 10,419.37 = 5,791.86 : x
  2. Step 2: Convert to fraction form
    6,954.38/10,419.37 = 5,791.86/x
  3. Step 3: Cross multiply
    6,954.38x = 10,419.37 × 5,791.86
  4. Step 4: Simplify right side
    6,954.38x = 60,347,517.85
  5. Step 5: Solve for x
    x = 60,347,517.85/6,954.38
  6. Step 6: Final answer
    x = 8,677.62

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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.