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Finding the Fourth Proportional to 8,511.59, 12,769.43 and 2,668.20

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Solution

The fourth proportional to 8,511.59, 12,769.43 and 2,668.20 is: 4,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.59 : 12,769.43 = 2,668.20 : x
  2. Step 2: Convert to fraction form
    8,511.59/12,769.43 = 2,668.20/x
  3. Step 3: Cross multiply
    8,511.59x = 12,769.43 × 2,668.20
  4. Step 4: Simplify right side
    8,511.59x = 34,071,346.04
  5. Step 5: Solve for x
    x = 34,071,346.04/8,511.59
  6. Step 6: Final answer
    x = 4,002.94

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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.