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Finding the Fourth Proportional to 8,271.26, 12,408.92 and 4,113.24

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Solution

The fourth proportional to 8,271.26, 12,408.92 and 4,113.24 is: 6,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.26 : 12,408.92 = 4,113.24 : x
  2. Step 2: Convert to fraction form
    8,271.26/12,408.92 = 4,113.24/x
  3. Step 3: Cross multiply
    8,271.26x = 12,408.92 × 4,113.24
  4. Step 4: Simplify right side
    8,271.26x = 51,040,866.10
  5. Step 5: Solve for x
    x = 51,040,866.10/8,271.26
  6. Step 6: Final answer
    x = 6,170.87

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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.