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Finding the Fourth Proportional to 7,584.26, 10,467.05 and 4,227.62

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Solution

The fourth proportional to 7,584.26, 10,467.05 and 4,227.62 is: 5,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.26 : 10,467.05 = 4,227.62 : x
  2. Step 2: Convert to fraction form
    7,584.26/10,467.05 = 4,227.62/x
  3. Step 3: Cross multiply
    7,584.26x = 10,467.05 × 4,227.62
  4. Step 4: Simplify right side
    7,584.26x = 44,250,709.92
  5. Step 5: Solve for x
    x = 44,250,709.92/7,584.26
  6. Step 6: Final answer
    x = 5,834.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.