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Finding the Fourth Proportional to 8,611.90, 12,914 and 2,454.46

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Solution

The fourth proportional to 8,611.90, 12,914 and 2,454.46 is: 3,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.90 : 12,914 = 2,454.46 : x
  2. Step 2: Convert to fraction form
    8,611.90/12,914 = 2,454.46/x
  3. Step 3: Cross multiply
    8,611.90x = 12,914 × 2,454.46
  4. Step 4: Simplify right side
    8,611.90x = 31,696,896.44
  5. Step 5: Solve for x
    x = 31,696,896.44/8,611.90
  6. Step 6: Final answer
    x = 3,680.59

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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.