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Finding the Fourth Proportional to 11,967.40, 16,514.78 and 6,662.32

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Solution

The fourth proportional to 11,967.40, 16,514.78 and 6,662.32 is: 9,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.40 : 16,514.78 = 6,662.32 : x
  2. Step 2: Convert to fraction form
    11,967.40/16,514.78 = 6,662.32/x
  3. Step 3: Cross multiply
    11,967.40x = 16,514.78 × 6,662.32
  4. Step 4: Simplify right side
    11,967.40x = 110,026,749.09
  5. Step 5: Solve for x
    x = 110,026,749.09/11,967.40
  6. Step 6: Final answer
    x = 9,193.87

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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.