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Finding the Fourth Proportional to 11,223.96, 16,836 and 5,362.80

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Solution

The fourth proportional to 11,223.96, 16,836 and 5,362.80 is: 8,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.96 : 16,836 = 5,362.80 : x
  2. Step 2: Convert to fraction form
    11,223.96/16,836 = 5,362.80/x
  3. Step 3: Cross multiply
    11,223.96x = 16,836 × 5,362.80
  4. Step 4: Simplify right side
    11,223.96x = 90,288,100.80
  5. Step 5: Solve for x
    x = 90,288,100.80/11,223.96
  6. Step 6: Final answer
    x = 8,044.23

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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.