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Finding the Fourth Proportional to 8,176.87, 12,249.82 and 4,835.11

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Solution

The fourth proportional to 8,176.87, 12,249.82 and 4,835.11 is: 7,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.87 : 12,249.82 = 4,835.11 : x
  2. Step 2: Convert to fraction form
    8,176.87/12,249.82 = 4,835.11/x
  3. Step 3: Cross multiply
    8,176.87x = 12,249.82 × 4,835.11
  4. Step 4: Simplify right side
    8,176.87x = 59,229,227.18
  5. Step 5: Solve for x
    x = 59,229,227.18/8,176.87
  6. Step 6: Final answer
    x = 7,243.51

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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.