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Finding the Fourth Proportional to 8,233.38, 12,349.74 and 6,600.24

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Solution

The fourth proportional to 8,233.38, 12,349.74 and 6,600.24 is: 9,900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.38 : 12,349.74 = 6,600.24 : x
  2. Step 2: Convert to fraction form
    8,233.38/12,349.74 = 6,600.24/x
  3. Step 3: Cross multiply
    8,233.38x = 12,349.74 × 6,600.24
  4. Step 4: Simplify right side
    8,233.38x = 81,511,247.94
  5. Step 5: Solve for x
    x = 81,511,247.94/8,233.38
  6. Step 6: Final answer
    x = 9,900.10

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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.