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Finding the Fourth Proportional to 7,382.72, 11,083.80 and 6,771.44

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Solution

The fourth proportional to 7,382.72, 11,083.80 and 6,771.44 is: 10,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.72 : 11,083.80 = 6,771.44 : x
  2. Step 2: Convert to fraction form
    7,382.72/11,083.80 = 6,771.44/x
  3. Step 3: Cross multiply
    7,382.72x = 11,083.80 × 6,771.44
  4. Step 4: Simplify right side
    7,382.72x = 75,053,286.67
  5. Step 5: Solve for x
    x = 75,053,286.67/7,382.72
  6. Step 6: Final answer
    x = 10,166.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.