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Finding the Fourth Proportional to 6,876, 10,314 and 2,259.36

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Solution

The fourth proportional to 6,876, 10,314 and 2,259.36 is: 3,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876 : 10,314 = 2,259.36 : x
  2. Step 2: Convert to fraction form
    6,876/10,314 = 2,259.36/x
  3. Step 3: Cross multiply
    6,876x = 10,314 × 2,259.36
  4. Step 4: Simplify right side
    6,876x = 23,303,039.04
  5. Step 5: Solve for x
    x = 23,303,039.04/6,876
  6. Step 6: Final answer
    x = 3,389.04

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