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Finding the Fourth Proportional to 8,231.24, 12,343.62 and 3,611

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Solution

The fourth proportional to 8,231.24, 12,343.62 and 3,611 is: 5,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.24 : 12,343.62 = 3,611 : x
  2. Step 2: Convert to fraction form
    8,231.24/12,343.62 = 3,611/x
  3. Step 3: Cross multiply
    8,231.24x = 12,343.62 × 3,611
  4. Step 4: Simplify right side
    8,231.24x = 44,572,811.82
  5. Step 5: Solve for x
    x = 44,572,811.82/8,231.24
  6. Step 6: Final answer
    x = 5,415.08

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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.