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Finding the Fourth Proportional to 11,194.41, 16,772.17 and 7,855.59

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Solution

The fourth proportional to 11,194.41, 16,772.17 and 7,855.59 is: 11,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.41 : 16,772.17 = 7,855.59 : x
  2. Step 2: Convert to fraction form
    11,194.41/16,772.17 = 7,855.59/x
  3. Step 3: Cross multiply
    11,194.41x = 16,772.17 × 7,855.59
  4. Step 4: Simplify right side
    11,194.41x = 131,755,290.93
  5. Step 5: Solve for x
    x = 131,755,290.93/11,194.41
  6. Step 6: Final answer
    x = 11,769.74

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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.