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Finding the Fourth Proportional to 8,137.93, 12,205.98 and 5,522.24

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Solution

The fourth proportional to 8,137.93, 12,205.98 and 5,522.24 is: 8,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.93 : 12,205.98 = 5,522.24 : x
  2. Step 2: Convert to fraction form
    8,137.93/12,205.98 = 5,522.24/x
  3. Step 3: Cross multiply
    8,137.93x = 12,205.98 × 5,522.24
  4. Step 4: Simplify right side
    8,137.93x = 67,404,289.97
  5. Step 5: Solve for x
    x = 67,404,289.97/8,137.93
  6. Step 6: Final answer
    x = 8,282.73

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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.