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Finding the Fourth Proportional to 11,967.11, 16,514.89 and 6,662.28

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Solution

The fourth proportional to 11,967.11, 16,514.89 and 6,662.28 is: 9,194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.11 : 16,514.89 = 6,662.28 : x
  2. Step 2: Convert to fraction form
    11,967.11/16,514.89 = 6,662.28/x
  3. Step 3: Cross multiply
    11,967.11x = 16,514.89 × 6,662.28
  4. Step 4: Simplify right side
    11,967.11x = 110,026,821.35
  5. Step 5: Solve for x
    x = 110,026,821.35/11,967.11
  6. Step 6: Final answer
    x = 9,194.11

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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.