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Finding the Fourth Proportional to 11,408.90, 17,089.49 and 9,175.66

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Solution

The fourth proportional to 11,408.90, 17,089.49 and 9,175.66 is: 13,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.90 : 17,089.49 = 9,175.66 : x
  2. Step 2: Convert to fraction form
    11,408.90/17,089.49 = 9,175.66/x
  3. Step 3: Cross multiply
    11,408.90x = 17,089.49 × 9,175.66
  4. Step 4: Simplify right side
    11,408.90x = 156,807,330.03
  5. Step 5: Solve for x
    x = 156,807,330.03/11,408.90
  6. Step 6: Final answer
    x = 13,744.30

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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.