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Finding the Fourth Proportional to 11,144.48, 16,713.84 and 5,289.44

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Solution

The fourth proportional to 11,144.48, 16,713.84 and 5,289.44 is: 7,932.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.48 : 16,713.84 = 5,289.44 : x
  2. Step 2: Convert to fraction form
    11,144.48/16,713.84 = 5,289.44/x
  3. Step 3: Cross multiply
    11,144.48x = 16,713.84 × 5,289.44
  4. Step 4: Simplify right side
    11,144.48x = 88,406,853.85
  5. Step 5: Solve for x
    x = 88,406,853.85/11,144.48
  6. Step 6: Final answer
    x = 7,932.79

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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.