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Finding the Fourth Proportional to 11,229.16, 15,491.46 and 8,239.80

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Solution

The fourth proportional to 11,229.16, 15,491.46 and 8,239.80 is: 11,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.16 : 15,491.46 = 8,239.80 : x
  2. Step 2: Convert to fraction form
    11,229.16/15,491.46 = 8,239.80/x
  3. Step 3: Cross multiply
    11,229.16x = 15,491.46 × 8,239.80
  4. Step 4: Simplify right side
    11,229.16x = 127,646,532.11
  5. Step 5: Solve for x
    x = 127,646,532.11/11,229.16
  6. Step 6: Final answer
    x = 11,367.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.