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Finding the Fourth Proportional to 11,791.96, 16,279.62 and 7,818.44

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Solution

The fourth proportional to 11,791.96, 16,279.62 and 7,818.44 is: 10,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.96 : 16,279.62 = 7,818.44 : x
  2. Step 2: Convert to fraction form
    11,791.96/16,279.62 = 7,818.44/x
  3. Step 3: Cross multiply
    11,791.96x = 16,279.62 × 7,818.44
  4. Step 4: Simplify right side
    11,791.96x = 127,281,272.89
  5. Step 5: Solve for x
    x = 127,281,272.89/11,791.96
  6. Step 6: Final answer
    x = 10,793.91

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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.