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Finding the Fourth Proportional to 11,791.96, 16,272.64 and 6,486.66

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Solution

The fourth proportional to 11,791.96, 16,272.64 and 6,486.66 is: 8,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.96 : 16,272.64 = 6,486.66 : x
  2. Step 2: Convert to fraction form
    11,791.96/16,272.64 = 6,486.66/x
  3. Step 3: Cross multiply
    11,791.96x = 16,272.64 × 6,486.66
  4. Step 4: Simplify right side
    11,791.96x = 105,555,082.98
  5. Step 5: Solve for x
    x = 105,555,082.98/11,791.96
  6. Step 6: Final answer
    x = 8,951.45

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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.