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Finding the Fourth Proportional to 8,192.89, 12,292.05 and 3,261.20

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Solution

The fourth proportional to 8,192.89, 12,292.05 and 3,261.20 is: 4,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.89 : 12,292.05 = 3,261.20 : x
  2. Step 2: Convert to fraction form
    8,192.89/12,292.05 = 3,261.20/x
  3. Step 3: Cross multiply
    8,192.89x = 12,292.05 × 3,261.20
  4. Step 4: Simplify right side
    8,192.89x = 40,086,833.46
  5. Step 5: Solve for x
    x = 40,086,833.46/8,192.89
  6. Step 6: Final answer
    x = 4,892.88

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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.