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Finding the Fourth Proportional to 8,596.24, 11,859.24 and 5,611

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Solution

The fourth proportional to 8,596.24, 11,859.24 and 5,611 is: 7,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.24 : 11,859.24 = 5,611 : x
  2. Step 2: Convert to fraction form
    8,596.24/11,859.24 = 5,611/x
  3. Step 3: Cross multiply
    8,596.24x = 11,859.24 × 5,611
  4. Step 4: Simplify right side
    8,596.24x = 66,542,195.64
  5. Step 5: Solve for x
    x = 66,542,195.64/8,596.24
  6. Step 6: Final answer
    x = 7,740.85

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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.