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Finding the Fourth Proportional to 7,692.72, 11,532.26 and 3,011.67

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Solution

The fourth proportional to 7,692.72, 11,532.26 and 3,011.67 is: 4,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.72 : 11,532.26 = 3,011.67 : x
  2. Step 2: Convert to fraction form
    7,692.72/11,532.26 = 3,011.67/x
  3. Step 3: Cross multiply
    7,692.72x = 11,532.26 × 3,011.67
  4. Step 4: Simplify right side
    7,692.72x = 34,731,346.42
  5. Step 5: Solve for x
    x = 34,731,346.42/7,692.72
  6. Step 6: Final answer
    x = 4,514.83

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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.