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Finding the Fourth Proportional to 8,157.96, 12,237.12 and 2,611.38

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Solution

The fourth proportional to 8,157.96, 12,237.12 and 2,611.38 is: 3,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.96 : 12,237.12 = 2,611.38 : x
  2. Step 2: Convert to fraction form
    8,157.96/12,237.12 = 2,611.38/x
  3. Step 3: Cross multiply
    8,157.96x = 12,237.12 × 2,611.38
  4. Step 4: Simplify right side
    8,157.96x = 31,955,770.43
  5. Step 5: Solve for x
    x = 31,955,770.43/8,157.96
  6. Step 6: Final answer
    x = 3,917.13

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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.