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Finding the Fourth Proportional to 10,942.80, 16,414.20 and 7,662.30

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Solution

The fourth proportional to 10,942.80, 16,414.20 and 7,662.30 is: 11,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.80 : 16,414.20 = 7,662.30 : x
  2. Step 2: Convert to fraction form
    10,942.80/16,414.20 = 7,662.30/x
  3. Step 3: Cross multiply
    10,942.80x = 16,414.20 × 7,662.30
  4. Step 4: Simplify right side
    10,942.80x = 125,770,524.66
  5. Step 5: Solve for x
    x = 125,770,524.66/10,942.80
  6. Step 6: Final answer
    x = 11,493.45

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