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Finding the Fourth Proportional to 10,822.94, 16,234.42 and 4,983.64

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Solution

The fourth proportional to 10,822.94, 16,234.42 and 4,983.64 is: 7,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.94 : 16,234.42 = 4,983.64 : x
  2. Step 2: Convert to fraction form
    10,822.94/16,234.42 = 4,983.64/x
  3. Step 3: Cross multiply
    10,822.94x = 16,234.42 × 4,983.64
  4. Step 4: Simplify right side
    10,822.94x = 80,906,504.89
  5. Step 5: Solve for x
    x = 80,906,504.89/10,822.94
  6. Step 6: Final answer
    x = 7,475.46

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