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Finding the Fourth Proportional to 7,692.62, 11,540.69 and 2,427.61

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Solution

The fourth proportional to 7,692.62, 11,540.69 and 2,427.61 is: 3,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.62 : 11,540.69 = 2,427.61 : x
  2. Step 2: Convert to fraction form
    7,692.62/11,540.69 = 2,427.61/x
  3. Step 3: Cross multiply
    7,692.62x = 11,540.69 × 2,427.61
  4. Step 4: Simplify right side
    7,692.62x = 28,016,294.45
  5. Step 5: Solve for x
    x = 28,016,294.45/7,692.62
  6. Step 6: Final answer
    x = 3,641.97

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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.