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Finding the Fourth Proportional to 10,640.40, 15,936.27 and 5,097.66

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Solution

The fourth proportional to 10,640.40, 15,936.27 and 5,097.66 is: 7,634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.40 : 15,936.27 = 5,097.66 : x
  2. Step 2: Convert to fraction form
    10,640.40/15,936.27 = 5,097.66/x
  3. Step 3: Cross multiply
    10,640.40x = 15,936.27 × 5,097.66
  4. Step 4: Simplify right side
    10,640.40x = 81,237,686.13
  5. Step 5: Solve for x
    x = 81,237,686.13/10,640.40
  6. Step 6: Final answer
    x = 7,634.83

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