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Finding the Fourth Proportional to 8,200.70, 12,301.05 and 4,304.60

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Solution

The fourth proportional to 8,200.70, 12,301.05 and 4,304.60 is: 6,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.70 : 12,301.05 = 4,304.60 : x
  2. Step 2: Convert to fraction form
    8,200.70/12,301.05 = 4,304.60/x
  3. Step 3: Cross multiply
    8,200.70x = 12,301.05 × 4,304.60
  4. Step 4: Simplify right side
    8,200.70x = 52,951,099.83
  5. Step 5: Solve for x
    x = 52,951,099.83/8,200.70
  6. Step 6: Final answer
    x = 6,456.90

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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.