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Finding the Fourth Proportional to 8,287.81, 12,414.44 and 3,674.05

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Solution

The fourth proportional to 8,287.81, 12,414.44 and 3,674.05 is: 5,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.81 : 12,414.44 = 3,674.05 : x
  2. Step 2: Convert to fraction form
    8,287.81/12,414.44 = 3,674.05/x
  3. Step 3: Cross multiply
    8,287.81x = 12,414.44 × 3,674.05
  4. Step 4: Simplify right side
    8,287.81x = 45,611,254.91
  5. Step 5: Solve for x
    x = 45,611,254.91/8,287.81
  6. Step 6: Final answer
    x = 5,503.41

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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.