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Finding the Fourth Proportional to 11,082.50, 16,604.95 and 6,690.73

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Solution

The fourth proportional to 11,082.50, 16,604.95 and 6,690.73 is: 10,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.50 : 16,604.95 = 6,690.73 : x
  2. Step 2: Convert to fraction form
    11,082.50/16,604.95 = 6,690.73/x
  3. Step 3: Cross multiply
    11,082.50x = 16,604.95 × 6,690.73
  4. Step 4: Simplify right side
    11,082.50x = 111,099,175.85
  5. Step 5: Solve for x
    x = 111,099,175.85/11,082.50
  6. Step 6: Final answer
    x = 10,024.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.