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Finding the Fourth Proportional to 11,994.87, 17,986.83 and 5,757.82

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Solution

The fourth proportional to 11,994.87, 17,986.83 and 5,757.82 is: 8,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,994.87 : 17,986.83 = 5,757.82 : x
  2. Step 2: Convert to fraction form
    11,994.87/17,986.83 = 5,757.82/x
  3. Step 3: Cross multiply
    11,994.87x = 17,986.83 × 5,757.82
  4. Step 4: Simplify right side
    11,994.87x = 103,564,929.51
  5. Step 5: Solve for x
    x = 103,564,929.51/11,994.87
  6. Step 6: Final answer
    x = 8,634.10

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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.