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Finding the Fourth Proportional to 11,934, 16,468.92 and 8,214.48

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Solution

The fourth proportional to 11,934, 16,468.92 and 8,214.48 is: 11,335.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,934 : 16,468.92 = 8,214.48 : x
  2. Step 2: Convert to fraction form
    11,934/16,468.92 = 8,214.48/x
  3. Step 3: Cross multiply
    11,934x = 16,468.92 × 8,214.48
  4. Step 4: Simplify right side
    11,934x = 135,283,613.96
  5. Step 5: Solve for x
    x = 135,283,613.96/11,934
  6. Step 6: Final answer
    x = 11,335.98

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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.