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Finding the Fourth Proportional to 11,381.11, 15,705.90 and 6,843.08

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Solution

The fourth proportional to 11,381.11, 15,705.90 and 6,843.08 is: 9,443.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.11 : 15,705.90 = 6,843.08 : x
  2. Step 2: Convert to fraction form
    11,381.11/15,705.90 = 6,843.08/x
  3. Step 3: Cross multiply
    11,381.11x = 15,705.90 × 6,843.08
  4. Step 4: Simplify right side
    11,381.11x = 107,476,769.44
  5. Step 5: Solve for x
    x = 107,476,769.44/11,381.11
  6. Step 6: Final answer
    x = 9,443.44

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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.