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Finding the Fourth Proportional to 8,625.42, 11,906.78 and 5,940.41

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Solution

The fourth proportional to 8,625.42, 11,906.78 and 5,940.41 is: 8,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,625.42 : 11,906.78 = 5,940.41 : x
  2. Step 2: Convert to fraction form
    8,625.42/11,906.78 = 5,940.41/x
  3. Step 3: Cross multiply
    8,625.42x = 11,906.78 × 5,940.41
  4. Step 4: Simplify right side
    8,625.42x = 70,731,065.74
  5. Step 5: Solve for x
    x = 70,731,065.74/8,625.42
  6. Step 6: Final answer
    x = 8,200.30

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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.