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Finding the Fourth Proportional to 10,930.46, 16,391.90 and 3,910.46

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Solution

The fourth proportional to 10,930.46, 16,391.90 and 3,910.46 is: 5,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.46 : 16,391.90 = 3,910.46 : x
  2. Step 2: Convert to fraction form
    10,930.46/16,391.90 = 3,910.46/x
  3. Step 3: Cross multiply
    10,930.46x = 16,391.90 × 3,910.46
  4. Step 4: Simplify right side
    10,930.46x = 64,099,797.09
  5. Step 5: Solve for x
    x = 64,099,797.09/10,930.46
  6. Step 6: Final answer
    x = 5,864.33

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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.