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Finding the Fourth Proportional to 8,511.72, 12,767.58 and 2,668.80

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Solution

The fourth proportional to 8,511.72, 12,767.58 and 2,668.80 is: 4,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.72 : 12,767.58 = 2,668.80 : x
  2. Step 2: Convert to fraction form
    8,511.72/12,767.58 = 2,668.80/x
  3. Step 3: Cross multiply
    8,511.72x = 12,767.58 × 2,668.80
  4. Step 4: Simplify right side
    8,511.72x = 34,074,117.50
  5. Step 5: Solve for x
    x = 34,074,117.50/8,511.72
  6. Step 6: Final answer
    x = 4,003.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.