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Finding the Fourth Proportional to 10,816.20, 16,223.49 and 3,420.90

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Solution

The fourth proportional to 10,816.20, 16,223.49 and 3,420.90 is: 5,131.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.20 : 16,223.49 = 3,420.90 : x
  2. Step 2: Convert to fraction form
    10,816.20/16,223.49 = 3,420.90/x
  3. Step 3: Cross multiply
    10,816.20x = 16,223.49 × 3,420.90
  4. Step 4: Simplify right side
    10,816.20x = 55,498,936.94
  5. Step 5: Solve for x
    x = 55,498,936.94/10,816.20
  6. Step 6: Final answer
    x = 5,131.09

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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.