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Finding the Fourth Proportional to 11,007.94, 16,514.34 and 4,082.44

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Solution

The fourth proportional to 11,007.94, 16,514.34 and 4,082.44 is: 6,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.94 : 16,514.34 = 4,082.44 : x
  2. Step 2: Convert to fraction form
    11,007.94/16,514.34 = 4,082.44/x
  3. Step 3: Cross multiply
    11,007.94x = 16,514.34 × 4,082.44
  4. Step 4: Simplify right side
    11,007.94x = 67,418,745.59
  5. Step 5: Solve for x
    x = 67,418,745.59/11,007.94
  6. Step 6: Final answer
    x = 6,124.56

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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.