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Finding the Fourth Proportional to 11,991.88, 17,972.42 and 5,742.53

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Solution

The fourth proportional to 11,991.88, 17,972.42 and 5,742.53 is: 8,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.88 : 17,972.42 = 5,742.53 : x
  2. Step 2: Convert to fraction form
    11,991.88/17,972.42 = 5,742.53/x
  3. Step 3: Cross multiply
    11,991.88x = 17,972.42 × 5,742.53
  4. Step 4: Simplify right side
    11,991.88x = 103,207,161.02
  5. Step 5: Solve for x
    x = 103,207,161.02/11,991.88
  6. Step 6: Final answer
    x = 8,606.42

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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.