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Finding the Fourth Proportional to 6,857.65, 10,285.17 and 3,344.13

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Solution

The fourth proportional to 6,857.65, 10,285.17 and 3,344.13 is: 5,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.65 : 10,285.17 = 3,344.13 : x
  2. Step 2: Convert to fraction form
    6,857.65/10,285.17 = 3,344.13/x
  3. Step 3: Cross multiply
    6,857.65x = 10,285.17 × 3,344.13
  4. Step 4: Simplify right side
    6,857.65x = 34,394,945.55
  5. Step 5: Solve for x
    x = 34,394,945.55/6,857.65
  6. Step 6: Final answer
    x = 5,015.56

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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.