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Finding the Fourth Proportional to 7,692.75, 11,540.75 and 2,499.03

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Solution

The fourth proportional to 7,692.75, 11,540.75 and 2,499.03 is: 3,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.75 : 11,540.75 = 2,499.03 : x
  2. Step 2: Convert to fraction form
    7,692.75/11,540.75 = 2,499.03/x
  3. Step 3: Cross multiply
    7,692.75x = 11,540.75 × 2,499.03
  4. Step 4: Simplify right side
    7,692.75x = 28,840,667.98
  5. Step 5: Solve for x
    x = 28,840,667.98/7,692.75
  6. Step 6: Final answer
    x = 3,749.07

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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.