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Finding the Fourth Proportional to 7,850.82, 11,773.80 and 3,471.96

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Solution

The fourth proportional to 7,850.82, 11,773.80 and 3,471.96 is: 5,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.82 : 11,773.80 = 3,471.96 : x
  2. Step 2: Convert to fraction form
    7,850.82/11,773.80 = 3,471.96/x
  3. Step 3: Cross multiply
    7,850.82x = 11,773.80 × 3,471.96
  4. Step 4: Simplify right side
    7,850.82x = 40,878,162.65
  5. Step 5: Solve for x
    x = 40,878,162.65/7,850.82
  6. Step 6: Final answer
    x = 5,206.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.