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Finding the Fourth Proportional to 8,113.89, 12,170.83 and 3,432.68

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Solution

The fourth proportional to 8,113.89, 12,170.83 and 3,432.68 is: 5,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.89 : 12,170.83 = 3,432.68 : x
  2. Step 2: Convert to fraction form
    8,113.89/12,170.83 = 3,432.68/x
  3. Step 3: Cross multiply
    8,113.89x = 12,170.83 × 3,432.68
  4. Step 4: Simplify right side
    8,113.89x = 41,778,564.72
  5. Step 5: Solve for x
    x = 41,778,564.72/8,113.89
  6. Step 6: Final answer
    x = 5,149.02

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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.