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Finding the Fourth Proportional to 10,822.92, 16,228.62 and 6,382.44

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Solution

The fourth proportional to 10,822.92, 16,228.62 and 6,382.44 is: 9,570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.92 : 16,228.62 = 6,382.44 : x
  2. Step 2: Convert to fraction form
    10,822.92/16,228.62 = 6,382.44/x
  3. Step 3: Cross multiply
    10,822.92x = 16,228.62 × 6,382.44
  4. Step 4: Simplify right side
    10,822.92x = 103,578,193.43
  5. Step 5: Solve for x
    x = 103,578,193.43/10,822.92
  6. Step 6: Final answer
    x = 9,570.26

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