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Finding the Fourth Proportional to 8,192.20, 12,295.22 and 3,265.24

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Solution

The fourth proportional to 8,192.20, 12,295.22 and 3,265.24 is: 4,900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.20 : 12,295.22 = 3,265.24 : x
  2. Step 2: Convert to fraction form
    8,192.20/12,295.22 = 3,265.24/x
  3. Step 3: Cross multiply
    8,192.20x = 12,295.22 × 3,265.24
  4. Step 4: Simplify right side
    8,192.20x = 40,146,844.15
  5. Step 5: Solve for x
    x = 40,146,844.15/8,192.20
  6. Step 6: Final answer
    x = 4,900.62

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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.