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Finding the Fourth Proportional to 8,202.80, 12,305.80 and 3,522.80

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Solution

The fourth proportional to 8,202.80, 12,305.80 and 3,522.80 is: 5,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.80 : 12,305.80 = 3,522.80 : x
  2. Step 2: Convert to fraction form
    8,202.80/12,305.80 = 3,522.80/x
  3. Step 3: Cross multiply
    8,202.80x = 12,305.80 × 3,522.80
  4. Step 4: Simplify right side
    8,202.80x = 43,350,872.24
  5. Step 5: Solve for x
    x = 43,350,872.24/8,202.80
  6. Step 6: Final answer
    x = 5,284.89

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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.