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Finding the Fourth Proportional to 8,491.30, 12,736.96 and 2,647.92

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Solution

The fourth proportional to 8,491.30, 12,736.96 and 2,647.92 is: 3,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.30 : 12,736.96 = 2,647.92 : x
  2. Step 2: Convert to fraction form
    8,491.30/12,736.96 = 2,647.92/x
  3. Step 3: Cross multiply
    8,491.30x = 12,736.96 × 2,647.92
  4. Step 4: Simplify right side
    8,491.30x = 33,726,451.12
  5. Step 5: Solve for x
    x = 33,726,451.12/8,491.30
  6. Step 6: Final answer
    x = 3,971.88

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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.