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Finding the Fourth Proportional to 11,967.41, 16,514.69 and 6,662.12

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Solution

The fourth proportional to 11,967.41, 16,514.69 and 6,662.12 is: 9,193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.41 : 16,514.69 = 6,662.12 : x
  2. Step 2: Convert to fraction form
    11,967.41/16,514.69 = 6,662.12/x
  3. Step 3: Cross multiply
    11,967.41x = 16,514.69 × 6,662.12
  4. Step 4: Simplify right side
    11,967.41x = 110,022,730.66
  5. Step 5: Solve for x
    x = 110,022,730.66/11,967.41
  6. Step 6: Final answer
    x = 9,193.53

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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.