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Finding the Fourth Proportional to 8,408.43, 11,615.42 and 7,965.57

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Solution

The fourth proportional to 8,408.43, 11,615.42 and 7,965.57 is: 11,003.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.43 : 11,615.42 = 7,965.57 : x
  2. Step 2: Convert to fraction form
    8,408.43/11,615.42 = 7,965.57/x
  3. Step 3: Cross multiply
    8,408.43x = 11,615.42 × 7,965.57
  4. Step 4: Simplify right side
    8,408.43x = 92,523,401.26
  5. Step 5: Solve for x
    x = 92,523,401.26/8,408.43
  6. Step 6: Final answer
    x = 11,003.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.