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Finding the Fourth Proportional to 11,951.82, 16,495.38 and 8,412.84

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Solution

The fourth proportional to 11,951.82, 16,495.38 and 8,412.84 is: 11,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.82 : 16,495.38 = 8,412.84 : x
  2. Step 2: Convert to fraction form
    11,951.82/16,495.38 = 8,412.84/x
  3. Step 3: Cross multiply
    11,951.82x = 16,495.38 × 8,412.84
  4. Step 4: Simplify right side
    11,951.82x = 138,772,992.68
  5. Step 5: Solve for x
    x = 138,772,992.68/11,951.82
  6. Step 6: Final answer
    x = 11,611.03

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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.