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Finding the Fourth Proportional to 8,252.72, 12,381.51 and 3,057.38

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Solution

The fourth proportional to 8,252.72, 12,381.51 and 3,057.38 is: 4,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.72 : 12,381.51 = 3,057.38 : x
  2. Step 2: Convert to fraction form
    8,252.72/12,381.51 = 3,057.38/x
  3. Step 3: Cross multiply
    8,252.72x = 12,381.51 × 3,057.38
  4. Step 4: Simplify right side
    8,252.72x = 37,854,919.14
  5. Step 5: Solve for x
    x = 37,854,919.14/8,252.72
  6. Step 6: Final answer
    x = 4,586.97

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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.