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Finding the Fourth Proportional to 10,722, 16,082.84 and 3,794.80

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Solution

The fourth proportional to 10,722, 16,082.84 and 3,794.80 is: 5,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722 : 16,082.84 = 3,794.80 : x
  2. Step 2: Convert to fraction form
    10,722/16,082.84 = 3,794.80/x
  3. Step 3: Cross multiply
    10,722x = 16,082.84 × 3,794.80
  4. Step 4: Simplify right side
    10,722x = 61,031,161.23
  5. Step 5: Solve for x
    x = 61,031,161.23/10,722
  6. Step 6: Final answer
    x = 5,692.14

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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.