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Finding the Fourth Proportional to 6,822.60, 10,233.84 and 1,892.22

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Solution

The fourth proportional to 6,822.60, 10,233.84 and 1,892.22 is: 2,838.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.60 : 10,233.84 = 1,892.22 : x
  2. Step 2: Convert to fraction form
    6,822.60/10,233.84 = 1,892.22/x
  3. Step 3: Cross multiply
    6,822.60x = 10,233.84 × 1,892.22
  4. Step 4: Simplify right side
    6,822.60x = 19,364,676.72
  5. Step 5: Solve for x
    x = 19,364,676.72/6,822.60
  6. Step 6: Final answer
    x = 2,838.31

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