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Finding the Fourth Proportional to 7,785.10, 11,675.89 and 3,832.44

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Solution

The fourth proportional to 7,785.10, 11,675.89 and 3,832.44 is: 5,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.10 : 11,675.89 = 3,832.44 : x
  2. Step 2: Convert to fraction form
    7,785.10/11,675.89 = 3,832.44/x
  3. Step 3: Cross multiply
    7,785.10x = 11,675.89 × 3,832.44
  4. Step 4: Simplify right side
    7,785.10x = 44,747,147.87
  5. Step 5: Solve for x
    x = 44,747,147.87/7,785.10
  6. Step 6: Final answer
    x = 5,747.79

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