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Finding the Fourth Proportional to 11,651.28, 16,082.28 and 7,927.44

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Solution

The fourth proportional to 11,651.28, 16,082.28 and 7,927.44 is: 10,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.28 : 16,082.28 = 7,927.44 : x
  2. Step 2: Convert to fraction form
    11,651.28/16,082.28 = 7,927.44/x
  3. Step 3: Cross multiply
    11,651.28x = 16,082.28 × 7,927.44
  4. Step 4: Simplify right side
    11,651.28x = 127,491,309.76
  5. Step 5: Solve for x
    x = 127,491,309.76/11,651.28
  6. Step 6: Final answer
    x = 10,942.26

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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.