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Finding the Fourth Proportional to 8,196.41, 12,294.81 and 2,650.34

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Solution

The fourth proportional to 8,196.41, 12,294.81 and 2,650.34 is: 3,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.41 : 12,294.81 = 2,650.34 : x
  2. Step 2: Convert to fraction form
    8,196.41/12,294.81 = 2,650.34/x
  3. Step 3: Cross multiply
    8,196.41x = 12,294.81 × 2,650.34
  4. Step 4: Simplify right side
    8,196.41x = 32,585,365.26
  5. Step 5: Solve for x
    x = 32,585,365.26/8,196.41
  6. Step 6: Final answer
    x = 3,975.57

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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.