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Finding the Fourth Proportional to 11,938.68, 16,479.20 and 8,591.20

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Solution

The fourth proportional to 11,938.68, 16,479.20 and 8,591.20 is: 11,858.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.68 : 16,479.20 = 8,591.20 : x
  2. Step 2: Convert to fraction form
    11,938.68/16,479.20 = 8,591.20/x
  3. Step 3: Cross multiply
    11,938.68x = 16,479.20 × 8,591.20
  4. Step 4: Simplify right side
    11,938.68x = 141,576,103.04
  5. Step 5: Solve for x
    x = 141,576,103.04/11,938.68
  6. Step 6: Final answer
    x = 11,858.61

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Why These Related Problems?

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