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Finding the Fourth Proportional to 6,874.44, 10,311.66 and 2,194.62

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Solution

The fourth proportional to 6,874.44, 10,311.66 and 2,194.62 is: 3,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.44 : 10,311.66 = 2,194.62 : x
  2. Step 2: Convert to fraction form
    6,874.44/10,311.66 = 2,194.62/x
  3. Step 3: Cross multiply
    6,874.44x = 10,311.66 × 2,194.62
  4. Step 4: Simplify right side
    6,874.44x = 22,630,175.27
  5. Step 5: Solve for x
    x = 22,630,175.27/6,874.44
  6. Step 6: Final answer
    x = 3,291.93

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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.