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Finding the Fourth Proportional to 11,876, 17,814 and 4,950.50

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Solution

The fourth proportional to 11,876, 17,814 and 4,950.50 is: 7,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876 : 17,814 = 4,950.50 : x
  2. Step 2: Convert to fraction form
    11,876/17,814 = 4,950.50/x
  3. Step 3: Cross multiply
    11,876x = 17,814 × 4,950.50
  4. Step 4: Simplify right side
    11,876x = 88,188,207
  5. Step 5: Solve for x
    x = 88,188,207/11,876
  6. Step 6: Final answer
    x = 7,425.75

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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.