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Finding the Fourth Proportional to 11,141.50, 15,375.27 and 6,665.44

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Solution

The fourth proportional to 11,141.50, 15,375.27 and 6,665.44 is: 9,198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.50 : 15,375.27 = 6,665.44 : x
  2. Step 2: Convert to fraction form
    11,141.50/15,375.27 = 6,665.44/x
  3. Step 3: Cross multiply
    11,141.50x = 15,375.27 × 6,665.44
  4. Step 4: Simplify right side
    11,141.50x = 102,482,939.67
  5. Step 5: Solve for x
    x = 102,482,939.67/11,141.50
  6. Step 6: Final answer
    x = 9,198.31

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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.