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Finding the Fourth Proportional to 8,205.05, 12,305.31 and 3,524.87

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Solution

The fourth proportional to 8,205.05, 12,305.31 and 3,524.87 is: 5,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.05 : 12,305.31 = 3,524.87 : x
  2. Step 2: Convert to fraction form
    8,205.05/12,305.31 = 3,524.87/x
  3. Step 3: Cross multiply
    8,205.05x = 12,305.31 × 3,524.87
  4. Step 4: Simplify right side
    8,205.05x = 43,374,618.06
  5. Step 5: Solve for x
    x = 43,374,618.06/8,205.05
  6. Step 6: Final answer
    x = 5,286.33

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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.