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Finding the Fourth Proportional to 8,071.80, 12,105.30 and 3,138.60

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Solution

The fourth proportional to 8,071.80, 12,105.30 and 3,138.60 is: 4,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.80 : 12,105.30 = 3,138.60 : x
  2. Step 2: Convert to fraction form
    8,071.80/12,105.30 = 3,138.60/x
  3. Step 3: Cross multiply
    8,071.80x = 12,105.30 × 3,138.60
  4. Step 4: Simplify right side
    8,071.80x = 37,993,694.58
  5. Step 5: Solve for x
    x = 37,993,694.58/8,071.80
  6. Step 6: Final answer
    x = 4,706.97

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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.