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Finding the Fourth Proportional to 10,861.38, 16,297.73 and 5,930.10

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Solution

The fourth proportional to 10,861.38, 16,297.73 and 5,930.10 is: 8,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.38 : 16,297.73 = 5,930.10 : x
  2. Step 2: Convert to fraction form
    10,861.38/16,297.73 = 5,930.10/x
  3. Step 3: Cross multiply
    10,861.38x = 16,297.73 × 5,930.10
  4. Step 4: Simplify right side
    10,861.38x = 96,647,168.67
  5. Step 5: Solve for x
    x = 96,647,168.67/10,861.38
  6. Step 6: Final answer
    x = 8,898.24

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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.