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Finding the Fourth Proportional to 8,170.67, 11,272.29 and 5,337.14

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Solution

The fourth proportional to 8,170.67, 11,272.29 and 5,337.14 is: 7,363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.67 : 11,272.29 = 5,337.14 : x
  2. Step 2: Convert to fraction form
    8,170.67/11,272.29 = 5,337.14/x
  3. Step 3: Cross multiply
    8,170.67x = 11,272.29 × 5,337.14
  4. Step 4: Simplify right side
    8,170.67x = 60,161,789.85
  5. Step 5: Solve for x
    x = 60,161,789.85/8,170.67
  6. Step 6: Final answer
    x = 7,363.14

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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.