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Finding the Fourth Proportional to 7,784.28, 11,680.02 and 3,891.24

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Solution

The fourth proportional to 7,784.28, 11,680.02 and 3,891.24 is: 5,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.28 : 11,680.02 = 3,891.24 : x
  2. Step 2: Convert to fraction form
    7,784.28/11,680.02 = 3,891.24/x
  3. Step 3: Cross multiply
    7,784.28x = 11,680.02 × 3,891.24
  4. Step 4: Simplify right side
    7,784.28x = 45,449,761.02
  5. Step 5: Solve for x
    x = 45,449,761.02/7,784.28
  6. Step 6: Final answer
    x = 5,838.66

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