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Finding the Fourth Proportional to 8,093.76, 12,143.60 and 3,414.94

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Solution

The fourth proportional to 8,093.76, 12,143.60 and 3,414.94 is: 5,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.76 : 12,143.60 = 3,414.94 : x
  2. Step 2: Convert to fraction form
    8,093.76/12,143.60 = 3,414.94/x
  3. Step 3: Cross multiply
    8,093.76x = 12,143.60 × 3,414.94
  4. Step 4: Simplify right side
    8,093.76x = 41,469,665.38
  5. Step 5: Solve for x
    x = 41,469,665.38/8,093.76
  6. Step 6: Final answer
    x = 5,123.66

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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.