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Finding the Fourth Proportional to 12,611.50, 17,404.27 and 6,946.56

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Solution

The fourth proportional to 12,611.50, 17,404.27 and 6,946.56 is: 9,586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.50 : 17,404.27 = 6,946.56 : x
  2. Step 2: Convert to fraction form
    12,611.50/17,404.27 = 6,946.56/x
  3. Step 3: Cross multiply
    12,611.50x = 17,404.27 × 6,946.56
  4. Step 4: Simplify right side
    12,611.50x = 120,899,788.44
  5. Step 5: Solve for x
    x = 120,899,788.44/12,611.50
  6. Step 6: Final answer
    x = 9,586.47

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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.