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Finding the Fourth Proportional to 11,722.62, 17,584.01 and 4,797.12

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Solution

The fourth proportional to 11,722.62, 17,584.01 and 4,797.12 is: 7,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.62 : 17,584.01 = 4,797.12 : x
  2. Step 2: Convert to fraction form
    11,722.62/17,584.01 = 4,797.12/x
  3. Step 3: Cross multiply
    11,722.62x = 17,584.01 × 4,797.12
  4. Step 4: Simplify right side
    11,722.62x = 84,352,606.05
  5. Step 5: Solve for x
    x = 84,352,606.05/11,722.62
  6. Step 6: Final answer
    x = 7,195.71

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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.