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Finding the Fourth Proportional to 8,806.82, 13,206.68 and 3,738.92

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Solution

The fourth proportional to 8,806.82, 13,206.68 and 3,738.92 is: 5,606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,806.82 : 13,206.68 = 3,738.92 : x
  2. Step 2: Convert to fraction form
    8,806.82/13,206.68 = 3,738.92/x
  3. Step 3: Cross multiply
    8,806.82x = 13,206.68 × 3,738.92
  4. Step 4: Simplify right side
    8,806.82x = 49,378,719.99
  5. Step 5: Solve for x
    x = 49,378,719.99/8,806.82
  6. Step 6: Final answer
    x = 5,606.87

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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.