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Finding the Fourth Proportional to 8,257.86, 12,382.74 and 5,760.24

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Solution

The fourth proportional to 8,257.86, 12,382.74 and 5,760.24 is: 8,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.86 : 12,382.74 = 5,760.24 : x
  2. Step 2: Convert to fraction form
    8,257.86/12,382.74 = 5,760.24/x
  3. Step 3: Cross multiply
    8,257.86x = 12,382.74 × 5,760.24
  4. Step 4: Simplify right side
    8,257.86x = 71,327,554.26
  5. Step 5: Solve for x
    x = 71,327,554.26/8,257.86
  6. Step 6: Final answer
    x = 8,637.53

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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.