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Finding the Fourth Proportional to 8,255.34, 12,382.12 and 2,332.08

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Solution

The fourth proportional to 8,255.34, 12,382.12 and 2,332.08 is: 3,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.34 : 12,382.12 = 2,332.08 : x
  2. Step 2: Convert to fraction form
    8,255.34/12,382.12 = 2,332.08/x
  3. Step 3: Cross multiply
    8,255.34x = 12,382.12 × 2,332.08
  4. Step 4: Simplify right side
    8,255.34x = 28,876,094.41
  5. Step 5: Solve for x
    x = 28,876,094.41/8,255.34
  6. Step 6: Final answer
    x = 3,497.87

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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.