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Finding the Fourth Proportional to 10,822.80, 16,236.22 and 3,425.26

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Solution

The fourth proportional to 10,822.80, 16,236.22 and 3,425.26 is: 5,138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.80 : 16,236.22 = 3,425.26 : x
  2. Step 2: Convert to fraction form
    10,822.80/16,236.22 = 3,425.26/x
  3. Step 3: Cross multiply
    10,822.80x = 16,236.22 × 3,425.26
  4. Step 4: Simplify right side
    10,822.80x = 55,613,274.92
  5. Step 5: Solve for x
    x = 55,613,274.92/10,822.80
  6. Step 6: Final answer
    x = 5,138.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.