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Finding the Fourth Proportional to 11,692.46, 17,540.97 and 4,296.98

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Solution

The fourth proportional to 11,692.46, 17,540.97 and 4,296.98 is: 6,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.46 : 17,540.97 = 4,296.98 : x
  2. Step 2: Convert to fraction form
    11,692.46/17,540.97 = 4,296.98/x
  3. Step 3: Cross multiply
    11,692.46x = 17,540.97 × 4,296.98
  4. Step 4: Simplify right side
    11,692.46x = 75,373,109.57
  5. Step 5: Solve for x
    x = 75,373,109.57/11,692.46
  6. Step 6: Final answer
    x = 6,446.30

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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.