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Finding the Fourth Proportional to 8,162.07, 12,243.10 and 3,777.14

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Solution

The fourth proportional to 8,162.07, 12,243.10 and 3,777.14 is: 5,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.07 : 12,243.10 = 3,777.14 : x
  2. Step 2: Convert to fraction form
    8,162.07/12,243.10 = 3,777.14/x
  3. Step 3: Cross multiply
    8,162.07x = 12,243.10 × 3,777.14
  4. Step 4: Simplify right side
    8,162.07x = 46,243,850.96
  5. Step 5: Solve for x
    x = 46,243,850.96/8,162.07
  6. Step 6: Final answer
    x = 5,665.70

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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.