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Finding the Fourth Proportional to 8,611.64, 12,914.42 and 2,766.28

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Solution

The fourth proportional to 8,611.64, 12,914.42 and 2,766.28 is: 4,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.64 : 12,914.42 = 2,766.28 : x
  2. Step 2: Convert to fraction form
    8,611.64/12,914.42 = 2,766.28/x
  3. Step 3: Cross multiply
    8,611.64x = 12,914.42 × 2,766.28
  4. Step 4: Simplify right side
    8,611.64x = 35,724,837.19
  5. Step 5: Solve for x
    x = 35,724,837.19/8,611.64
  6. Step 6: Final answer
    x = 4,148.44

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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.