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Finding the Fourth Proportional to 11,446.14, 17,165.13 and 5,200.92

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Solution

The fourth proportional to 11,446.14, 17,165.13 and 5,200.92 is: 7,799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.14 : 17,165.13 = 5,200.92 : x
  2. Step 2: Convert to fraction form
    11,446.14/17,165.13 = 5,200.92/x
  3. Step 3: Cross multiply
    11,446.14x = 17,165.13 × 5,200.92
  4. Step 4: Simplify right side
    11,446.14x = 89,274,467.92
  5. Step 5: Solve for x
    x = 89,274,467.92/11,446.14
  6. Step 6: Final answer
    x = 7,799.53

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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.