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Finding the Fourth Proportional to 8,147.88, 12,222.30 and 3,531.24

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Solution

The fourth proportional to 8,147.88, 12,222.30 and 3,531.24 is: 5,297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.88 : 12,222.30 = 3,531.24 : x
  2. Step 2: Convert to fraction form
    8,147.88/12,222.30 = 3,531.24/x
  3. Step 3: Cross multiply
    8,147.88x = 12,222.30 × 3,531.24
  4. Step 4: Simplify right side
    8,147.88x = 43,159,874.65
  5. Step 5: Solve for x
    x = 43,159,874.65/8,147.88
  6. Step 6: Final answer
    x = 5,297.07

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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.