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Finding the Fourth Proportional to 7,692.69, 11,540.15 and 2,425.91

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Solution

The fourth proportional to 7,692.69, 11,540.15 and 2,425.91 is: 3,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.69 : 11,540.15 = 2,425.91 : x
  2. Step 2: Convert to fraction form
    7,692.69/11,540.15 = 2,425.91/x
  3. Step 3: Cross multiply
    7,692.69x = 11,540.15 × 2,425.91
  4. Step 4: Simplify right side
    7,692.69x = 27,995,353.16
  5. Step 5: Solve for x
    x = 27,995,353.16/7,692.69
  6. Step 6: Final answer
    x = 3,639.22

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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.