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Finding the Fourth Proportional to 8,271.27, 12,408.93 and 4,113.23

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Solution

The fourth proportional to 8,271.27, 12,408.93 and 4,113.23 is: 6,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.27 : 12,408.93 = 4,113.23 : x
  2. Step 2: Convert to fraction form
    8,271.27/12,408.93 = 4,113.23/x
  3. Step 3: Cross multiply
    8,271.27x = 12,408.93 × 4,113.23
  4. Step 4: Simplify right side
    8,271.27x = 51,040,783.14
  5. Step 5: Solve for x
    x = 51,040,783.14/8,271.27
  6. Step 6: Final answer
    x = 6,170.85

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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.