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Finding the Fourth Proportional to 8,221.05, 12,331.58 and 2,377.67

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Solution

The fourth proportional to 8,221.05, 12,331.58 and 2,377.67 is: 3,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.05 : 12,331.58 = 2,377.67 : x
  2. Step 2: Convert to fraction form
    8,221.05/12,331.58 = 2,377.67/x
  3. Step 3: Cross multiply
    8,221.05x = 12,331.58 × 2,377.67
  4. Step 4: Simplify right side
    8,221.05x = 29,320,354.27
  5. Step 5: Solve for x
    x = 29,320,354.27/8,221.05
  6. Step 6: Final answer
    x = 3,566.50

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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.