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Finding the Fourth Proportional to 8,202.31, 12,305.52 and 2,358.97

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Solution

The fourth proportional to 8,202.31, 12,305.52 and 2,358.97 is: 3,539.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.31 : 12,305.52 = 2,358.97 : x
  2. Step 2: Convert to fraction form
    8,202.31/12,305.52 = 2,358.97/x
  3. Step 3: Cross multiply
    8,202.31x = 12,305.52 × 2,358.97
  4. Step 4: Simplify right side
    8,202.31x = 29,028,321.75
  5. Step 5: Solve for x
    x = 29,028,321.75/8,202.31
  6. Step 6: Final answer
    x = 3,539.04

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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.