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Finding the Fourth Proportional to 8,611.72, 12,914.54 and 2,766.76

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Solution

The fourth proportional to 8,611.72, 12,914.54 and 2,766.76 is: 4,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.72 : 12,914.54 = 2,766.76 : x
  2. Step 2: Convert to fraction form
    8,611.72/12,914.54 = 2,766.76/x
  3. Step 3: Cross multiply
    8,611.72x = 12,914.54 × 2,766.76
  4. Step 4: Simplify right side
    8,611.72x = 35,731,396.95
  5. Step 5: Solve for x
    x = 35,731,396.95/8,611.72
  6. Step 6: Final answer
    x = 4,149.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.