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Finding the Fourth Proportional to 7,923.78, 11,882.16 and 3,538.17

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Solution

The fourth proportional to 7,923.78, 11,882.16 and 3,538.17 is: 5,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.78 : 11,882.16 = 3,538.17 : x
  2. Step 2: Convert to fraction form
    7,923.78/11,882.16 = 3,538.17/x
  3. Step 3: Cross multiply
    7,923.78x = 11,882.16 × 3,538.17
  4. Step 4: Simplify right side
    7,923.78x = 42,041,102.05
  5. Step 5: Solve for x
    x = 42,041,102.05/7,923.78
  6. Step 6: Final answer
    x = 5,305.69

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