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Finding the Fourth Proportional to 8,202.89, 12,304.24 and 2,359.55

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Solution

The fourth proportional to 8,202.89, 12,304.24 and 2,359.55 is: 3,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.89 : 12,304.24 = 2,359.55 : x
  2. Step 2: Convert to fraction form
    8,202.89/12,304.24 = 2,359.55/x
  3. Step 3: Cross multiply
    8,202.89x = 12,304.24 × 2,359.55
  4. Step 4: Simplify right side
    8,202.89x = 29,032,494.35
  5. Step 5: Solve for x
    x = 29,032,494.35/8,202.89
  6. Step 6: Final answer
    x = 3,539.30

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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.