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Finding the Fourth Proportional to 8,343.62, 11,514.20 and 5,199.82

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Solution

The fourth proportional to 8,343.62, 11,514.20 and 5,199.82 is: 7,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.62 : 11,514.20 = 5,199.82 : x
  2. Step 2: Convert to fraction form
    8,343.62/11,514.20 = 5,199.82/x
  3. Step 3: Cross multiply
    8,343.62x = 11,514.20 × 5,199.82
  4. Step 4: Simplify right side
    8,343.62x = 59,871,767.44
  5. Step 5: Solve for x
    x = 59,871,767.44/8,343.62
  6. Step 6: Final answer
    x = 7,175.75

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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.