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Finding the Fourth Proportional to 8,491.92, 12,733.92 and 3,227.91

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Solution

The fourth proportional to 8,491.92, 12,733.92 and 3,227.91 is: 4,840.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.92 : 12,733.92 = 3,227.91 : x
  2. Step 2: Convert to fraction form
    8,491.92/12,733.92 = 3,227.91/x
  3. Step 3: Cross multiply
    8,491.92x = 12,733.92 × 3,227.91
  4. Step 4: Simplify right side
    8,491.92x = 41,103,947.71
  5. Step 5: Solve for x
    x = 41,103,947.71/8,491.92
  6. Step 6: Final answer
    x = 4,840.36

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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.