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Finding the Fourth Proportional to 8,137.96, 12,206.94 and 3,753.02

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Solution

The fourth proportional to 8,137.96, 12,206.94 and 3,753.02 is: 5,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.96 : 12,206.94 = 3,753.02 : x
  2. Step 2: Convert to fraction form
    8,137.96/12,206.94 = 3,753.02/x
  3. Step 3: Cross multiply
    8,137.96x = 12,206.94 × 3,753.02
  4. Step 4: Simplify right side
    8,137.96x = 45,812,920.48
  5. Step 5: Solve for x
    x = 45,812,920.48/8,137.96
  6. Step 6: Final answer
    x = 5,629.54

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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.