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Finding the Fourth Proportional to 8,204.58, 12,311.76 and 3,273.48

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Solution

The fourth proportional to 8,204.58, 12,311.76 and 3,273.48 is: 4,912.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.58 : 12,311.76 = 3,273.48 : x
  2. Step 2: Convert to fraction form
    8,204.58/12,311.76 = 3,273.48/x
  3. Step 3: Cross multiply
    8,204.58x = 12,311.76 × 3,273.48
  4. Step 4: Simplify right side
    8,204.58x = 40,302,300.12
  5. Step 5: Solve for x
    x = 40,302,300.12/8,204.58
  6. Step 6: Final answer
    x = 4,912.17

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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.