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Finding the Fourth Proportional to 6,167.34, 8,500.14 and 3,805.38

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Solution

The fourth proportional to 6,167.34, 8,500.14 and 3,805.38 is: 5,244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.34 : 8,500.14 = 3,805.38 : x
  2. Step 2: Convert to fraction form
    6,167.34/8,500.14 = 3,805.38/x
  3. Step 3: Cross multiply
    6,167.34x = 8,500.14 × 3,805.38
  4. Step 4: Simplify right side
    6,167.34x = 32,346,262.75
  5. Step 5: Solve for x
    x = 32,346,262.75/6,167.34
  6. Step 6: Final answer
    x = 5,244.77

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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.