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Finding the Fourth Proportional to 7,006.33, 9,668.44 and 3,819.56

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Solution

The fourth proportional to 7,006.33, 9,668.44 and 3,819.56 is: 5,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.33 : 9,668.44 = 3,819.56 : x
  2. Step 2: Convert to fraction form
    7,006.33/9,668.44 = 3,819.56/x
  3. Step 3: Cross multiply
    7,006.33x = 9,668.44 × 3,819.56
  4. Step 4: Simplify right side
    7,006.33x = 36,929,119.25
  5. Step 5: Solve for x
    x = 36,929,119.25/7,006.33
  6. Step 6: Final answer
    x = 5,270.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.