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Finding the Fourth Proportional to 27,511.68, 41,269.28 and 7,791.80

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Solution

The fourth proportional to 27,511.68, 41,269.28 and 7,791.80 is: 11,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,511.68 : 41,269.28 = 7,791.80 : x
  2. Step 2: Convert to fraction form
    27,511.68/41,269.28 = 7,791.80/x
  3. Step 3: Cross multiply
    27,511.68x = 41,269.28 × 7,791.80
  4. Step 4: Simplify right side
    27,511.68x = 321,561,975.90
  5. Step 5: Solve for x
    x = 321,561,975.90/27,511.68
  6. Step 6: Final answer
    x = 11,688.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.