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Finding the Fourth Proportional to 8,231.41, 12,348.40 and 2,683.47

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Solution

The fourth proportional to 8,231.41, 12,348.40 and 2,683.47 is: 4,025.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.41 : 12,348.40 = 2,683.47 : x
  2. Step 2: Convert to fraction form
    8,231.41/12,348.40 = 2,683.47/x
  3. Step 3: Cross multiply
    8,231.41x = 12,348.40 × 2,683.47
  4. Step 4: Simplify right side
    8,231.41x = 33,136,560.95
  5. Step 5: Solve for x
    x = 33,136,560.95/8,231.41
  6. Step 6: Final answer
    x = 4,025.62

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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.