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Finding the Fourth Proportional to 11,589.90, 17,408.10 and 6,919.02

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Solution

The fourth proportional to 11,589.90, 17,408.10 and 6,919.02 is: 10,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.90 : 17,408.10 = 6,919.02 : x
  2. Step 2: Convert to fraction form
    11,589.90/17,408.10 = 6,919.02/x
  3. Step 3: Cross multiply
    11,589.90x = 17,408.10 × 6,919.02
  4. Step 4: Simplify right side
    11,589.90x = 120,446,992.06
  5. Step 5: Solve for x
    x = 120,446,992.06/11,589.90
  6. Step 6: Final answer
    x = 10,392.41

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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.