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Finding the Fourth Proportional to 6,814.64, 10,204.68 and 5,443.76

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Solution

The fourth proportional to 6,814.64, 10,204.68 and 5,443.76 is: 8,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.64 : 10,204.68 = 5,443.76 : x
  2. Step 2: Convert to fraction form
    6,814.64/10,204.68 = 5,443.76/x
  3. Step 3: Cross multiply
    6,814.64x = 10,204.68 × 5,443.76
  4. Step 4: Simplify right side
    6,814.64x = 55,551,828.80
  5. Step 5: Solve for x
    x = 55,551,828.80/6,814.64
  6. Step 6: Final answer
    x = 8,151.84

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