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Finding the Fourth Proportional to 7,838.64, 11,761.61 and 3,938.49

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Solution

The fourth proportional to 7,838.64, 11,761.61 and 3,938.49 is: 5,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.64 : 11,761.61 = 3,938.49 : x
  2. Step 2: Convert to fraction form
    7,838.64/11,761.61 = 3,938.49/x
  3. Step 3: Cross multiply
    7,838.64x = 11,761.61 × 3,938.49
  4. Step 4: Simplify right side
    7,838.64x = 46,322,963.68
  5. Step 5: Solve for x
    x = 46,322,963.68/7,838.64
  6. Step 6: Final answer
    x = 5,909.57

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