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Finding the Fourth Proportional to 11,763.20, 16,204.80 and 8,220.80

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Solution

The fourth proportional to 11,763.20, 16,204.80 and 8,220.80 is: 11,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.20 : 16,204.80 = 8,220.80 : x
  2. Step 2: Convert to fraction form
    11,763.20/16,204.80 = 8,220.80/x
  3. Step 3: Cross multiply
    11,763.20x = 16,204.80 × 8,220.80
  4. Step 4: Simplify right side
    11,763.20x = 133,216,419.84
  5. Step 5: Solve for x
    x = 133,216,419.84/11,763.20
  6. Step 6: Final answer
    x = 11,324.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.