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Finding the Fourth Proportional to 11,789.80, 16,266.98 and 7,593

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Solution

The fourth proportional to 11,789.80, 16,266.98 and 7,593 is: 10,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.80 : 16,266.98 = 7,593 : x
  2. Step 2: Convert to fraction form
    11,789.80/16,266.98 = 7,593/x
  3. Step 3: Cross multiply
    11,789.80x = 16,266.98 × 7,593
  4. Step 4: Simplify right side
    11,789.80x = 123,515,179.14
  5. Step 5: Solve for x
    x = 123,515,179.14/11,789.80
  6. Step 6: Final answer
    x = 10,476.44

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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.