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Finding the Fourth Proportional to 6,791.31, 10,173.09 and 3,497.49

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Solution

The fourth proportional to 6,791.31, 10,173.09 and 3,497.49 is: 5,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.31 : 10,173.09 = 3,497.49 : x
  2. Step 2: Convert to fraction form
    6,791.31/10,173.09 = 3,497.49/x
  3. Step 3: Cross multiply
    6,791.31x = 10,173.09 × 3,497.49
  4. Step 4: Simplify right side
    6,791.31x = 35,580,280.54
  5. Step 5: Solve for x
    x = 35,580,280.54/6,791.31
  6. Step 6: Final answer
    x = 5,239.09

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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.