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Finding the Fourth Proportional to 10,942.67, 16,414.05 and 4,370.51

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Solution

The fourth proportional to 10,942.67, 16,414.05 and 4,370.51 is: 6,555.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.67 : 16,414.05 = 4,370.51 : x
  2. Step 2: Convert to fraction form
    10,942.67/16,414.05 = 4,370.51/x
  3. Step 3: Cross multiply
    10,942.67x = 16,414.05 × 4,370.51
  4. Step 4: Simplify right side
    10,942.67x = 71,737,769.67
  5. Step 5: Solve for x
    x = 71,737,769.67/10,942.67
  6. Step 6: Final answer
    x = 6,555.78

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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.