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Finding the Fourth Proportional to 7,851.38, 11,782.46 and 3,234.38

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Solution

The fourth proportional to 7,851.38, 11,782.46 and 3,234.38 is: 4,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.38 : 11,782.46 = 3,234.38 : x
  2. Step 2: Convert to fraction form
    7,851.38/11,782.46 = 3,234.38/x
  3. Step 3: Cross multiply
    7,851.38x = 11,782.46 × 3,234.38
  4. Step 4: Simplify right side
    7,851.38x = 38,108,902.15
  5. Step 5: Solve for x
    x = 38,108,902.15/7,851.38
  6. Step 6: Final answer
    x = 4,853.79

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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.