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Finding the Fourth Proportional to 11,843.60, 16,344.96 and 6,809.48

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Solution

The fourth proportional to 11,843.60, 16,344.96 and 6,809.48 is: 9,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.60 : 16,344.96 = 6,809.48 : x
  2. Step 2: Convert to fraction form
    11,843.60/16,344.96 = 6,809.48/x
  3. Step 3: Cross multiply
    11,843.60x = 16,344.96 × 6,809.48
  4. Step 4: Simplify right side
    11,843.60x = 111,300,678.22
  5. Step 5: Solve for x
    x = 111,300,678.22/11,843.60
  6. Step 6: Final answer
    x = 9,397.54

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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.