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Finding the Fourth Proportional to 27,845.76, 41,768.10 and 6,785.88

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Solution

The fourth proportional to 27,845.76, 41,768.10 and 6,785.88 is: 10,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,845.76 : 41,768.10 = 6,785.88 : x
  2. Step 2: Convert to fraction form
    27,845.76/41,768.10 = 6,785.88/x
  3. Step 3: Cross multiply
    27,845.76x = 41,768.10 × 6,785.88
  4. Step 4: Simplify right side
    27,845.76x = 283,433,314.43
  5. Step 5: Solve for x
    x = 283,433,314.43/27,845.76
  6. Step 6: Final answer
    x = 10,178.69

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