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Finding the Fourth Proportional to 7,991.40, 11,987.10 and 7,408.20

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Solution

The fourth proportional to 7,991.40, 11,987.10 and 7,408.20 is: 11,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,991.40 : 11,987.10 = 7,408.20 : x
  2. Step 2: Convert to fraction form
    7,991.40/11,987.10 = 7,408.20/x
  3. Step 3: Cross multiply
    7,991.40x = 11,987.10 × 7,408.20
  4. Step 4: Simplify right side
    7,991.40x = 88,802,834.22
  5. Step 5: Solve for x
    x = 88,802,834.22/7,991.40
  6. Step 6: Final answer
    x = 11,112.30

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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.