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Finding the Fourth Proportional to 11,994.17, 17,982.37 and 5,748.24

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Solution

The fourth proportional to 11,994.17, 17,982.37 and 5,748.24 is: 8,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,994.17 : 17,982.37 = 5,748.24 : x
  2. Step 2: Convert to fraction form
    11,994.17/17,982.37 = 5,748.24/x
  3. Step 3: Cross multiply
    11,994.17x = 17,982.37 × 5,748.24
  4. Step 4: Simplify right side
    11,994.17x = 103,366,874.25
  5. Step 5: Solve for x
    x = 103,366,874.25/11,994.17
  6. Step 6: Final answer
    x = 8,618.09

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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.