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Finding the Fourth Proportional to 8,113.97, 12,175.74 and 3,433.61

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Solution

The fourth proportional to 8,113.97, 12,175.74 and 3,433.61 is: 5,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.97 : 12,175.74 = 3,433.61 : x
  2. Step 2: Convert to fraction form
    8,113.97/12,175.74 = 3,433.61/x
  3. Step 3: Cross multiply
    8,113.97x = 12,175.74 × 3,433.61
  4. Step 4: Simplify right side
    8,113.97x = 41,806,742.62
  5. Step 5: Solve for x
    x = 41,806,742.62/8,113.97
  6. Step 6: Final answer
    x = 5,152.44

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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.