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Finding the Fourth Proportional to 8,149.82, 12,224.72 and 2,305.67

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Solution

The fourth proportional to 8,149.82, 12,224.72 and 2,305.67 is: 3,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.82 : 12,224.72 = 2,305.67 : x
  2. Step 2: Convert to fraction form
    8,149.82/12,224.72 = 2,305.67/x
  3. Step 3: Cross multiply
    8,149.82x = 12,224.72 × 2,305.67
  4. Step 4: Simplify right side
    8,149.82x = 28,186,114.80
  5. Step 5: Solve for x
    x = 28,186,114.80/8,149.82
  6. Step 6: Final answer
    x = 3,458.50

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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.