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Finding the Fourth Proportional to 7,857.46, 11,793.21 and 4,162.24

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Solution

The fourth proportional to 7,857.46, 11,793.21 and 4,162.24 is: 6,247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.46 : 11,793.21 = 4,162.24 : x
  2. Step 2: Convert to fraction form
    7,857.46/11,793.21 = 4,162.24/x
  3. Step 3: Cross multiply
    7,857.46x = 11,793.21 × 4,162.24
  4. Step 4: Simplify right side
    7,857.46x = 49,086,170.39
  5. Step 5: Solve for x
    x = 49,086,170.39/7,857.46
  6. Step 6: Final answer
    x = 6,247.08

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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.