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Finding the Fourth Proportional to 8,500.41, 12,754.13 and 3,817.17

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Solution

The fourth proportional to 8,500.41, 12,754.13 and 3,817.17 is: 5,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.41 : 12,754.13 = 3,817.17 : x
  2. Step 2: Convert to fraction form
    8,500.41/12,754.13 = 3,817.17/x
  3. Step 3: Cross multiply
    8,500.41x = 12,754.13 × 3,817.17
  4. Step 4: Simplify right side
    8,500.41x = 48,684,663.33
  5. Step 5: Solve for x
    x = 48,684,663.33/8,500.41
  6. Step 6: Final answer
    x = 5,727.33

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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.