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Finding the Fourth Proportional to 8,511.41, 12,767.12 and 2,668.47

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Solution

The fourth proportional to 8,511.41, 12,767.12 and 2,668.47 is: 4,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.41 : 12,767.12 = 2,668.47 : x
  2. Step 2: Convert to fraction form
    8,511.41/12,767.12 = 2,668.47/x
  3. Step 3: Cross multiply
    8,511.41x = 12,767.12 × 2,668.47
  4. Step 4: Simplify right side
    8,511.41x = 34,068,695.28
  5. Step 5: Solve for x
    x = 34,068,695.28/8,511.41
  6. Step 6: Final answer
    x = 4,002.71

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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.