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Finding the Fourth Proportional to 8,491.52, 12,729.68 and 3,296.16

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Solution

The fourth proportional to 8,491.52, 12,729.68 and 3,296.16 is: 4,941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.52 : 12,729.68 = 3,296.16 : x
  2. Step 2: Convert to fraction form
    8,491.52/12,729.68 = 3,296.16/x
  3. Step 3: Cross multiply
    8,491.52x = 12,729.68 × 3,296.16
  4. Step 4: Simplify right side
    8,491.52x = 41,959,062.03
  5. Step 5: Solve for x
    x = 41,959,062.03/8,491.52
  6. Step 6: Final answer
    x = 4,941.29

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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.