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Finding the Fourth Proportional to 11,650.26, 16,082.78 and 6,868.70

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Solution

The fourth proportional to 11,650.26, 16,082.78 and 6,868.70 is: 9,481.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.26 : 16,082.78 = 6,868.70 : x
  2. Step 2: Convert to fraction form
    11,650.26/16,082.78 = 6,868.70/x
  3. Step 3: Cross multiply
    11,650.26x = 16,082.78 × 6,868.70
  4. Step 4: Simplify right side
    11,650.26x = 110,467,676.23
  5. Step 5: Solve for x
    x = 110,467,676.23/11,650.26
  6. Step 6: Final answer
    x = 9,481.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.