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Finding the Fourth Proportional to 11,788.67, 17,672.02 and 8,092.64

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Solution

The fourth proportional to 11,788.67, 17,672.02 and 8,092.64 is: 12,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.67 : 17,672.02 = 8,092.64 : x
  2. Step 2: Convert to fraction form
    11,788.67/17,672.02 = 8,092.64/x
  3. Step 3: Cross multiply
    11,788.67x = 17,672.02 × 8,092.64
  4. Step 4: Simplify right side
    11,788.67x = 143,013,350.23
  5. Step 5: Solve for x
    x = 143,013,350.23/11,788.67
  6. Step 6: Final answer
    x = 12,131.42

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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.