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Finding the Fourth Proportional to 8,083.26, 12,129.74 and 3,466.26

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Solution

The fourth proportional to 8,083.26, 12,129.74 and 3,466.26 is: 5,201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.26 : 12,129.74 = 3,466.26 : x
  2. Step 2: Convert to fraction form
    8,083.26/12,129.74 = 3,466.26/x
  3. Step 3: Cross multiply
    8,083.26x = 12,129.74 × 3,466.26
  4. Step 4: Simplify right side
    8,083.26x = 42,044,832.57
  5. Step 5: Solve for x
    x = 42,044,832.57/8,083.26
  6. Step 6: Final answer
    x = 5,201.47

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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.