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Finding the Fourth Proportional to 8,233.38, 12,350.01 and 6,997.86

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Solution

The fourth proportional to 8,233.38, 12,350.01 and 6,997.86 is: 10,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.38 : 12,350.01 = 6,997.86 : x
  2. Step 2: Convert to fraction form
    8,233.38/12,350.01 = 6,997.86/x
  3. Step 3: Cross multiply
    8,233.38x = 12,350.01 × 6,997.86
  4. Step 4: Simplify right side
    8,233.38x = 86,423,640.98
  5. Step 5: Solve for x
    x = 86,423,640.98/8,233.38
  6. Step 6: Final answer
    x = 10,496.74

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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.