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Finding the Fourth Proportional to 8,351, 11,524.76 and 4,625

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Solution

The fourth proportional to 8,351, 11,524.76 and 4,625 is: 6,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351 : 11,524.76 = 4,625 : x
  2. Step 2: Convert to fraction form
    8,351/11,524.76 = 4,625/x
  3. Step 3: Cross multiply
    8,351x = 11,524.76 × 4,625
  4. Step 4: Simplify right side
    8,351x = 53,302,015
  5. Step 5: Solve for x
    x = 53,302,015/8,351
  6. Step 6: Final answer
    x = 6,382.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.