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Finding the Fourth Proportional to 8,150.64, 12,217.38 and 3,771

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Solution

The fourth proportional to 8,150.64, 12,217.38 and 3,771 is: 5,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150.64 : 12,217.38 = 3,771 : x
  2. Step 2: Convert to fraction form
    8,150.64/12,217.38 = 3,771/x
  3. Step 3: Cross multiply
    8,150.64x = 12,217.38 × 3,771
  4. Step 4: Simplify right side
    8,150.64x = 46,071,739.98
  5. Step 5: Solve for x
    x = 46,071,739.98/8,150.64
  6. Step 6: Final answer
    x = 5,652.53

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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.