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Finding the Fourth Proportional to 11,918.40, 16,446.96 and 6,613.44

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Solution

The fourth proportional to 11,918.40, 16,446.96 and 6,613.44 is: 9,126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.40 : 16,446.96 = 6,613.44 : x
  2. Step 2: Convert to fraction form
    11,918.40/16,446.96 = 6,613.44/x
  3. Step 3: Cross multiply
    11,918.40x = 16,446.96 × 6,613.44
  4. Step 4: Simplify right side
    11,918.40x = 108,770,983.14
  5. Step 5: Solve for x
    x = 108,770,983.14/11,918.40
  6. Step 6: Final answer
    x = 9,126.31

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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.