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Finding the Fourth Proportional to 6,906.75, 10,343.64 and 3,978.93

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Solution

The fourth proportional to 6,906.75, 10,343.64 and 3,978.93 is: 5,958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.75 : 10,343.64 = 3,978.93 : x
  2. Step 2: Convert to fraction form
    6,906.75/10,343.64 = 3,978.93/x
  3. Step 3: Cross multiply
    6,906.75x = 10,343.64 × 3,978.93
  4. Step 4: Simplify right side
    6,906.75x = 41,156,619.51
  5. Step 5: Solve for x
    x = 41,156,619.51/6,906.75
  6. Step 6: Final answer
    x = 5,958.90

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