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Finding the Fourth Proportional to 8,202.80, 12,305.20 and 2,359.44

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Solution

The fourth proportional to 8,202.80, 12,305.20 and 2,359.44 is: 3,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.80 : 12,305.20 = 2,359.44 : x
  2. Step 2: Convert to fraction form
    8,202.80/12,305.20 = 2,359.44/x
  3. Step 3: Cross multiply
    8,202.80x = 12,305.20 × 2,359.44
  4. Step 4: Simplify right side
    8,202.80x = 29,033,381.09
  5. Step 5: Solve for x
    x = 29,033,381.09/8,202.80
  6. Step 6: Final answer
    x = 3,539.45

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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.