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Finding the Fourth Proportional to 8,063.52, 12,097.22 and 3,380.96

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Solution

The fourth proportional to 8,063.52, 12,097.22 and 3,380.96 is: 5,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,063.52 : 12,097.22 = 3,380.96 : x
  2. Step 2: Convert to fraction form
    8,063.52/12,097.22 = 3,380.96/x
  3. Step 3: Cross multiply
    8,063.52x = 12,097.22 × 3,380.96
  4. Step 4: Simplify right side
    8,063.52x = 40,900,216.93
  5. Step 5: Solve for x
    x = 40,900,216.93/8,063.52
  6. Step 6: Final answer
    x = 5,072.25

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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.