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Finding the Fourth Proportional to 11,554.80, 15,942.84 and 6,840.24

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Solution

The fourth proportional to 11,554.80, 15,942.84 and 6,840.24 is: 9,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.80 : 15,942.84 = 6,840.24 : x
  2. Step 2: Convert to fraction form
    11,554.80/15,942.84 = 6,840.24/x
  3. Step 3: Cross multiply
    11,554.80x = 15,942.84 × 6,840.24
  4. Step 4: Simplify right side
    11,554.80x = 109,052,851.88
  5. Step 5: Solve for x
    x = 109,052,851.88/11,554.80
  6. Step 6: Final answer
    x = 9,437.88

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