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Finding the Fourth Proportional to 5,338.56, 8,007.82 and 1,442.96

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Solution

The fourth proportional to 5,338.56, 8,007.82 and 1,442.96 is: 2,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.56 : 8,007.82 = 1,442.96 : x
  2. Step 2: Convert to fraction form
    5,338.56/8,007.82 = 1,442.96/x
  3. Step 3: Cross multiply
    5,338.56x = 8,007.82 × 1,442.96
  4. Step 4: Simplify right side
    5,338.56x = 11,554,963.95
  5. Step 5: Solve for x
    x = 11,554,963.95/5,338.56
  6. Step 6: Final answer
    x = 2,164.43

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