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Finding the Fourth Proportional to 8,202.92, 12,305.18 and 2,360.39

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Solution

The fourth proportional to 8,202.92, 12,305.18 and 2,360.39 is: 3,540.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.92 : 12,305.18 = 2,360.39 : x
  2. Step 2: Convert to fraction form
    8,202.92/12,305.18 = 2,360.39/x
  3. Step 3: Cross multiply
    8,202.92x = 12,305.18 × 2,360.39
  4. Step 4: Simplify right side
    8,202.92x = 29,044,968.20
  5. Step 5: Solve for x
    x = 29,044,968.20/8,202.92
  6. Step 6: Final answer
    x = 3,540.81

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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.