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Finding the Fourth Proportional to 11,961.24, 16,514.64 and 7,486.80

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Solution

The fourth proportional to 11,961.24, 16,514.64 and 7,486.80 is: 10,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.24 : 16,514.64 = 7,486.80 : x
  2. Step 2: Convert to fraction form
    11,961.24/16,514.64 = 7,486.80/x
  3. Step 3: Cross multiply
    11,961.24x = 16,514.64 × 7,486.80
  4. Step 4: Simplify right side
    11,961.24x = 123,641,806.75
  5. Step 5: Solve for x
    x = 123,641,806.75/11,961.24
  6. Step 6: Final answer
    x = 10,336.87

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