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Finding the Fourth Proportional to 8,222.52, 12,335.22 and 3,837.72

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Solution

The fourth proportional to 8,222.52, 12,335.22 and 3,837.72 is: 5,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.52 : 12,335.22 = 3,837.72 : x
  2. Step 2: Convert to fraction form
    8,222.52/12,335.22 = 3,837.72/x
  3. Step 3: Cross multiply
    8,222.52x = 12,335.22 × 3,837.72
  4. Step 4: Simplify right side
    8,222.52x = 47,339,120.50
  5. Step 5: Solve for x
    x = 47,339,120.50/8,222.52
  6. Step 6: Final answer
    x = 5,757.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.