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Finding the Fourth Proportional to 8,252.56, 12,382.88 and 4,092.96

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Solution

The fourth proportional to 8,252.56, 12,382.88 and 4,092.96 is: 6,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.56 : 12,382.88 = 4,092.96 : x
  2. Step 2: Convert to fraction form
    8,252.56/12,382.88 = 4,092.96/x
  3. Step 3: Cross multiply
    8,252.56x = 12,382.88 × 4,092.96
  4. Step 4: Simplify right side
    8,252.56x = 50,682,632.52
  5. Step 5: Solve for x
    x = 50,682,632.52/8,252.56
  6. Step 6: Final answer
    x = 6,141.44

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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.