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Finding the Fourth Proportional to 6,781.37, 10,177.26 and 3,034.31

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Solution

The fourth proportional to 6,781.37, 10,177.26 and 3,034.31 is: 4,553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.37 : 10,177.26 = 3,034.31 : x
  2. Step 2: Convert to fraction form
    6,781.37/10,177.26 = 3,034.31/x
  3. Step 3: Cross multiply
    6,781.37x = 10,177.26 × 3,034.31
  4. Step 4: Simplify right side
    6,781.37x = 30,880,936.35
  5. Step 5: Solve for x
    x = 30,880,936.35/6,781.37
  6. Step 6: Final answer
    x = 4,553.79

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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.