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Finding the Fourth Proportional to 7,808.38, 10,774.31 and 4,451.27

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Solution

The fourth proportional to 7,808.38, 10,774.31 and 4,451.27 is: 6,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.38 : 10,774.31 = 4,451.27 : x
  2. Step 2: Convert to fraction form
    7,808.38/10,774.31 = 4,451.27/x
  3. Step 3: Cross multiply
    7,808.38x = 10,774.31 × 4,451.27
  4. Step 4: Simplify right side
    7,808.38x = 47,959,286.75
  5. Step 5: Solve for x
    x = 47,959,286.75/7,808.38
  6. Step 6: Final answer
    x = 6,142.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.