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Finding the Fourth Proportional to 11,177.65, 16,766.44 and 2,857.67

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Solution

The fourth proportional to 11,177.65, 16,766.44 and 2,857.67 is: 4,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.65 : 16,766.44 = 2,857.67 : x
  2. Step 2: Convert to fraction form
    11,177.65/16,766.44 = 2,857.67/x
  3. Step 3: Cross multiply
    11,177.65x = 16,766.44 × 2,857.67
  4. Step 4: Simplify right side
    11,177.65x = 47,912,861.62
  5. Step 5: Solve for x
    x = 47,912,861.62/11,177.65
  6. Step 6: Final answer
    x = 4,286.49

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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.