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Finding the Fourth Proportional to 11,584.56, 17,396.06 and 7,229.70

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Solution

The fourth proportional to 11,584.56, 17,396.06 and 7,229.70 is: 10,856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.56 : 17,396.06 = 7,229.70 : x
  2. Step 2: Convert to fraction form
    11,584.56/17,396.06 = 7,229.70/x
  3. Step 3: Cross multiply
    11,584.56x = 17,396.06 × 7,229.70
  4. Step 4: Simplify right side
    11,584.56x = 125,768,294.98
  5. Step 5: Solve for x
    x = 125,768,294.98/11,584.56
  6. Step 6: Final answer
    x = 10,856.54

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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.