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Finding the Fourth Proportional to 7,071.72, 10,608.78 and 3,178.86

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Solution

The fourth proportional to 7,071.72, 10,608.78 and 3,178.86 is: 4,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.72 : 10,608.78 = 3,178.86 : x
  2. Step 2: Convert to fraction form
    7,071.72/10,608.78 = 3,178.86/x
  3. Step 3: Cross multiply
    7,071.72x = 10,608.78 × 3,178.86
  4. Step 4: Simplify right side
    7,071.72x = 33,723,826.39
  5. Step 5: Solve for x
    x = 33,723,826.39/7,071.72
  6. Step 6: Final answer
    x = 4,768.83

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