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Finding the Fourth Proportional to 6,838.26, 10,257.39 and 3,914.53

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Solution

The fourth proportional to 6,838.26, 10,257.39 and 3,914.53 is: 5,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.26 : 10,257.39 = 3,914.53 : x
  2. Step 2: Convert to fraction form
    6,838.26/10,257.39 = 3,914.53/x
  3. Step 3: Cross multiply
    6,838.26x = 10,257.39 × 3,914.53
  4. Step 4: Simplify right side
    6,838.26x = 40,152,860.88
  5. Step 5: Solve for x
    x = 40,152,860.88/6,838.26
  6. Step 6: Final answer
    x = 5,871.80

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