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Finding the Fourth Proportional to 11,967.22, 16,514.13 and 6,661.09

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Solution

The fourth proportional to 11,967.22, 16,514.13 and 6,661.09 is: 9,191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.22 : 16,514.13 = 6,661.09 : x
  2. Step 2: Convert to fraction form
    11,967.22/16,514.13 = 6,661.09/x
  3. Step 3: Cross multiply
    11,967.22x = 16,514.13 × 6,661.09
  4. Step 4: Simplify right side
    11,967.22x = 110,002,106.20
  5. Step 5: Solve for x
    x = 110,002,106.20/11,967.22
  6. Step 6: Final answer
    x = 9,191.95

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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.