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Finding the Fourth Proportional to 7,692.43, 11,535.81 and 2,760.88

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Solution

The fourth proportional to 7,692.43, 11,535.81 and 2,760.88 is: 4,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.43 : 11,535.81 = 2,760.88 : x
  2. Step 2: Convert to fraction form
    7,692.43/11,535.81 = 2,760.88/x
  3. Step 3: Cross multiply
    7,692.43x = 11,535.81 × 2,760.88
  4. Step 4: Simplify right side
    7,692.43x = 31,848,987.11
  5. Step 5: Solve for x
    x = 31,848,987.11/7,692.43
  6. Step 6: Final answer
    x = 4,140.30

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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.