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Finding the Fourth Proportional to 11,348.67, 16,998.39 and 5,493

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Solution

The fourth proportional to 11,348.67, 16,998.39 and 5,493 is: 8,227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.67 : 16,998.39 = 5,493 : x
  2. Step 2: Convert to fraction form
    11,348.67/16,998.39 = 5,493/x
  3. Step 3: Cross multiply
    11,348.67x = 16,998.39 × 5,493
  4. Step 4: Simplify right side
    11,348.67x = 93,372,156.27
  5. Step 5: Solve for x
    x = 93,372,156.27/11,348.67
  6. Step 6: Final answer
    x = 8,227.59

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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.