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Finding the Fourth Proportional to 8,140.46, 12,221.99 and 4,194.54

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Solution

The fourth proportional to 8,140.46, 12,221.99 and 4,194.54 is: 6,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.46 : 12,221.99 = 4,194.54 : x
  2. Step 2: Convert to fraction form
    8,140.46/12,221.99 = 4,194.54/x
  3. Step 3: Cross multiply
    8,140.46x = 12,221.99 × 4,194.54
  4. Step 4: Simplify right side
    8,140.46x = 51,265,604.96
  5. Step 5: Solve for x
    x = 51,265,604.96/8,140.46
  6. Step 6: Final answer
    x = 6,297.63

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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.