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Finding the Fourth Proportional to 11,122.57, 16,684.67 and 3,727

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Solution

The fourth proportional to 11,122.57, 16,684.67 and 3,727 is: 5,590.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122.57 : 16,684.67 = 3,727 : x
  2. Step 2: Convert to fraction form
    11,122.57/16,684.67 = 3,727/x
  3. Step 3: Cross multiply
    11,122.57x = 16,684.67 × 3,727
  4. Step 4: Simplify right side
    11,122.57x = 62,183,765.09
  5. Step 5: Solve for x
    x = 62,183,765.09/11,122.57
  6. Step 6: Final answer
    x = 5,590.77

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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.