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Finding the Fourth Proportional to 11,878.92, 16,394.13 and 6,843.33

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Solution

The fourth proportional to 11,878.92, 16,394.13 and 6,843.33 is: 9,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.92 : 16,394.13 = 6,843.33 : x
  2. Step 2: Convert to fraction form
    11,878.92/16,394.13 = 6,843.33/x
  3. Step 3: Cross multiply
    11,878.92x = 16,394.13 × 6,843.33
  4. Step 4: Simplify right side
    11,878.92x = 112,190,441.65
  5. Step 5: Solve for x
    x = 112,190,441.65/11,878.92
  6. Step 6: Final answer
    x = 9,444.50

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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.