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Finding the Fourth Proportional to 8,722.26, 13,083.39 and 5,806.26

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Solution

The fourth proportional to 8,722.26, 13,083.39 and 5,806.26 is: 8,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.26 : 13,083.39 = 5,806.26 : x
  2. Step 2: Convert to fraction form
    8,722.26/13,083.39 = 5,806.26/x
  3. Step 3: Cross multiply
    8,722.26x = 13,083.39 × 5,806.26
  4. Step 4: Simplify right side
    8,722.26x = 75,965,564.02
  5. Step 5: Solve for x
    x = 75,965,564.02/8,722.26
  6. Step 6: Final answer
    x = 8,709.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.