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Finding the Fourth Proportional to 8,146.44, 12,216.06 and 3,466.26

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Solution

The fourth proportional to 8,146.44, 12,216.06 and 3,466.26 is: 5,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.44 : 12,216.06 = 3,466.26 : x
  2. Step 2: Convert to fraction form
    8,146.44/12,216.06 = 3,466.26/x
  3. Step 3: Cross multiply
    8,146.44x = 12,216.06 × 3,466.26
  4. Step 4: Simplify right side
    8,146.44x = 42,344,040.14
  5. Step 5: Solve for x
    x = 42,344,040.14/8,146.44
  6. Step 6: Final answer
    x = 5,197.86

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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.