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Finding the Fourth Proportional to 8,182.62, 12,279.42 and 8,152.56

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Solution

The fourth proportional to 8,182.62, 12,279.42 and 8,152.56 is: 12,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.62 : 12,279.42 = 8,152.56 : x
  2. Step 2: Convert to fraction form
    8,182.62/12,279.42 = 8,152.56/x
  3. Step 3: Cross multiply
    8,182.62x = 12,279.42 × 8,152.56
  4. Step 4: Simplify right side
    8,182.62x = 100,108,708.32
  5. Step 5: Solve for x
    x = 100,108,708.32/8,182.62
  6. Step 6: Final answer
    x = 12,234.31

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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.