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Finding the Fourth Proportional to 11,906.88, 17,868.42 and 4,115.63

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Solution

The fourth proportional to 11,906.88, 17,868.42 and 4,115.63 is: 6,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.88 : 17,868.42 = 4,115.63 : x
  2. Step 2: Convert to fraction form
    11,906.88/17,868.42 = 4,115.63/x
  3. Step 3: Cross multiply
    11,906.88x = 17,868.42 × 4,115.63
  4. Step 4: Simplify right side
    11,906.88x = 73,539,716.06
  5. Step 5: Solve for x
    x = 73,539,716.06/11,906.88
  6. Step 6: Final answer
    x = 6,176.24

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