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Finding the Fourth Proportional to 8,057.76, 12,083.10 and 3,310.66

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Solution

The fourth proportional to 8,057.76, 12,083.10 and 3,310.66 is: 4,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.76 : 12,083.10 = 3,310.66 : x
  2. Step 2: Convert to fraction form
    8,057.76/12,083.10 = 3,310.66/x
  3. Step 3: Cross multiply
    8,057.76x = 12,083.10 × 3,310.66
  4. Step 4: Simplify right side
    8,057.76x = 40,003,035.85
  5. Step 5: Solve for x
    x = 40,003,035.85/8,057.76
  6. Step 6: Final answer
    x = 4,964.54

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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.