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Finding the Fourth Proportional to 11,843.81, 16,342.71 and 6,808.25

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Solution

The fourth proportional to 11,843.81, 16,342.71 and 6,808.25 is: 9,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.81 : 16,342.71 = 6,808.25 : x
  2. Step 2: Convert to fraction form
    11,843.81/16,342.71 = 6,808.25/x
  3. Step 3: Cross multiply
    11,843.81x = 16,342.71 × 6,808.25
  4. Step 4: Simplify right side
    11,843.81x = 111,265,173.64
  5. Step 5: Solve for x
    x = 111,265,173.64/11,843.81
  6. Step 6: Final answer
    x = 9,394.37

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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.