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Finding the Fourth Proportional to 11,951.89, 17,932.77 and 5,284.89

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Solution

The fourth proportional to 11,951.89, 17,932.77 and 5,284.89 is: 7,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.89 : 17,932.77 = 5,284.89 : x
  2. Step 2: Convert to fraction form
    11,951.89/17,932.77 = 5,284.89/x
  3. Step 3: Cross multiply
    11,951.89x = 17,932.77 × 5,284.89
  4. Step 4: Simplify right side
    11,951.89x = 94,772,716.85
  5. Step 5: Solve for x
    x = 94,772,716.85/11,951.89
  6. Step 6: Final answer
    x = 7,929.52

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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.