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Finding the Fourth Proportional to 7,609.62, 11,414.16 and 2,063.82

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Solution

The fourth proportional to 7,609.62, 11,414.16 and 2,063.82 is: 3,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.62 : 11,414.16 = 2,063.82 : x
  2. Step 2: Convert to fraction form
    7,609.62/11,414.16 = 2,063.82/x
  3. Step 3: Cross multiply
    7,609.62x = 11,414.16 × 2,063.82
  4. Step 4: Simplify right side
    7,609.62x = 23,556,771.69
  5. Step 5: Solve for x
    x = 23,556,771.69/7,609.62
  6. Step 6: Final answer
    x = 3,095.66

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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.