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Finding the Fourth Proportional to 7,692.87, 11,535.20 and 3,985.91

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Solution

The fourth proportional to 7,692.87, 11,535.20 and 3,985.91 is: 5,976.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.87 : 11,535.20 = 3,985.91 : x
  2. Step 2: Convert to fraction form
    7,692.87/11,535.20 = 3,985.91/x
  3. Step 3: Cross multiply
    7,692.87x = 11,535.20 × 3,985.91
  4. Step 4: Simplify right side
    7,692.87x = 45,978,191.43
  5. Step 5: Solve for x
    x = 45,978,191.43/7,692.87
  6. Step 6: Final answer
    x = 5,976.73

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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.