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Finding the Fourth Proportional to 6,814.87, 10,222.37 and 1,884.78

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Solution

The fourth proportional to 6,814.87, 10,222.37 and 1,884.78 is: 2,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.87 : 10,222.37 = 1,884.78 : x
  2. Step 2: Convert to fraction form
    6,814.87/10,222.37 = 1,884.78/x
  3. Step 3: Cross multiply
    6,814.87x = 10,222.37 × 1,884.78
  4. Step 4: Simplify right side
    6,814.87x = 19,266,918.53
  5. Step 5: Solve for x
    x = 19,266,918.53/6,814.87
  6. Step 6: Final answer
    x = 2,827.19

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