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Finding the Fourth Proportional to 6,842.54, 10,257.66 and 2,456.93

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Solution

The fourth proportional to 6,842.54, 10,257.66 and 2,456.93 is: 3,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.54 : 10,257.66 = 2,456.93 : x
  2. Step 2: Convert to fraction form
    6,842.54/10,257.66 = 2,456.93/x
  3. Step 3: Cross multiply
    6,842.54x = 10,257.66 × 2,456.93
  4. Step 4: Simplify right side
    6,842.54x = 25,202,378.23
  5. Step 5: Solve for x
    x = 25,202,378.23/6,842.54
  6. Step 6: Final answer
    x = 3,683.19

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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.