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Finding the Fourth Proportional to 8,396.26, 12,584.06 and 3,711.22

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Solution

The fourth proportional to 8,396.26, 12,584.06 and 3,711.22 is: 5,562.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.26 : 12,584.06 = 3,711.22 : x
  2. Step 2: Convert to fraction form
    8,396.26/12,584.06 = 3,711.22/x
  3. Step 3: Cross multiply
    8,396.26x = 12,584.06 × 3,711.22
  4. Step 4: Simplify right side
    8,396.26x = 46,702,215.15
  5. Step 5: Solve for x
    x = 46,702,215.15/8,396.26
  6. Step 6: Final answer
    x = 5,562.26

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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.