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Finding the Fourth Proportional to 11,766.84, 17,644.80 and 5,194.92

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Solution

The fourth proportional to 11,766.84, 17,644.80 and 5,194.92 is: 7,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.84 : 17,644.80 = 5,194.92 : x
  2. Step 2: Convert to fraction form
    11,766.84/17,644.80 = 5,194.92/x
  3. Step 3: Cross multiply
    11,766.84x = 17,644.80 × 5,194.92
  4. Step 4: Simplify right side
    11,766.84x = 91,663,324.42
  5. Step 5: Solve for x
    x = 91,663,324.42/11,766.84
  6. Step 6: Final answer
    x = 7,789.97

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