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Finding the Fourth Proportional to 8,511.81, 12,767.70 and 2,668.41

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Solution

The fourth proportional to 8,511.81, 12,767.70 and 2,668.41 is: 4,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.81 : 12,767.70 = 2,668.41 : x
  2. Step 2: Convert to fraction form
    8,511.81/12,767.70 = 2,668.41/x
  3. Step 3: Cross multiply
    8,511.81x = 12,767.70 × 2,668.41
  4. Step 4: Simplify right side
    8,511.81x = 34,069,458.36
  5. Step 5: Solve for x
    x = 34,069,458.36/8,511.81
  6. Step 6: Final answer
    x = 4,002.61

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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.