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Finding the Fourth Proportional to 8,048.89, 12,071.49 and 2,205.96

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Solution

The fourth proportional to 8,048.89, 12,071.49 and 2,205.96 is: 3,308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.89 : 12,071.49 = 2,205.96 : x
  2. Step 2: Convert to fraction form
    8,048.89/12,071.49 = 2,205.96/x
  3. Step 3: Cross multiply
    8,048.89x = 12,071.49 × 2,205.96
  4. Step 4: Simplify right side
    8,048.89x = 26,629,170.54
  5. Step 5: Solve for x
    x = 26,629,170.54/8,048.89
  6. Step 6: Final answer
    x = 3,308.43

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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.