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Finding the Fourth Proportional to 7,792.08, 11,691.76 and 3,408.96

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Solution

The fourth proportional to 7,792.08, 11,691.76 and 3,408.96 is: 5,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.08 : 11,691.76 = 3,408.96 : x
  2. Step 2: Convert to fraction form
    7,792.08/11,691.76 = 3,408.96/x
  3. Step 3: Cross multiply
    7,792.08x = 11,691.76 × 3,408.96
  4. Step 4: Simplify right side
    7,792.08x = 39,856,742.17
  5. Step 5: Solve for x
    x = 39,856,742.17/7,792.08
  6. Step 6: Final answer
    x = 5,115.03

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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.