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Finding the Fourth Proportional to 11,968.32, 16,512.54 and 6,662.22

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Solution

The fourth proportional to 11,968.32, 16,512.54 and 6,662.22 is: 9,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.32 : 16,512.54 = 6,662.22 : x
  2. Step 2: Convert to fraction form
    11,968.32/16,512.54 = 6,662.22/x
  3. Step 3: Cross multiply
    11,968.32x = 16,512.54 × 6,662.22
  4. Step 4: Simplify right side
    11,968.32x = 110,010,174.24
  5. Step 5: Solve for x
    x = 110,010,174.24/11,968.32
  6. Step 6: Final answer
    x = 9,191.78

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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.