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Finding the Fourth Proportional to 11,874.14, 16,383.66 and 7,092.80

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Solution

The fourth proportional to 11,874.14, 16,383.66 and 7,092.80 is: 9,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.14 : 16,383.66 = 7,092.80 : x
  2. Step 2: Convert to fraction form
    11,874.14/16,383.66 = 7,092.80/x
  3. Step 3: Cross multiply
    11,874.14x = 16,383.66 × 7,092.80
  4. Step 4: Simplify right side
    11,874.14x = 116,206,023.65
  5. Step 5: Solve for x
    x = 116,206,023.65/11,874.14
  6. Step 6: Final answer
    x = 9,786.48

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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.