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Finding the Fourth Proportional to 6,791.34, 10,175.01 and 5,949

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Solution

The fourth proportional to 6,791.34, 10,175.01 and 5,949 is: 8,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.34 : 10,175.01 = 5,949 : x
  2. Step 2: Convert to fraction form
    6,791.34/10,175.01 = 5,949/x
  3. Step 3: Cross multiply
    6,791.34x = 10,175.01 × 5,949
  4. Step 4: Simplify right side
    6,791.34x = 60,531,134.49
  5. Step 5: Solve for x
    x = 60,531,134.49/6,791.34
  6. Step 6: Final answer
    x = 8,912.99

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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.