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Finding the Fourth Proportional to 11,840.40, 17,767.74 and 6,849.18

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Solution

The fourth proportional to 11,840.40, 17,767.74 and 6,849.18 is: 10,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.40 : 17,767.74 = 6,849.18 : x
  2. Step 2: Convert to fraction form
    11,840.40/17,767.74 = 6,849.18/x
  3. Step 3: Cross multiply
    11,840.40x = 17,767.74 × 6,849.18
  4. Step 4: Simplify right side
    11,840.40x = 121,694,449.45
  5. Step 5: Solve for x
    x = 121,694,449.45/11,840.40
  6. Step 6: Final answer
    x = 10,277.90

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