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Finding the Fourth Proportional to 10,824.96, 16,227.84 and 5,275.20

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Solution

The fourth proportional to 10,824.96, 16,227.84 and 5,275.20 is: 7,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.96 : 16,227.84 = 5,275.20 : x
  2. Step 2: Convert to fraction form
    10,824.96/16,227.84 = 5,275.20/x
  3. Step 3: Cross multiply
    10,824.96x = 16,227.84 × 5,275.20
  4. Step 4: Simplify right side
    10,824.96x = 85,605,101.57
  5. Step 5: Solve for x
    x = 85,605,101.57/10,824.96
  6. Step 6: Final answer
    x = 7,908.12

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