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Finding the Fourth Proportional to 7,186.20, 10,771.91 and 3,892.34

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Solution

The fourth proportional to 7,186.20, 10,771.91 and 3,892.34 is: 5,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.20 : 10,771.91 = 3,892.34 : x
  2. Step 2: Convert to fraction form
    7,186.20/10,771.91 = 3,892.34/x
  3. Step 3: Cross multiply
    7,186.20x = 10,771.91 × 3,892.34
  4. Step 4: Simplify right side
    7,186.20x = 41,927,862.85
  5. Step 5: Solve for x
    x = 41,927,862.85/7,186.20
  6. Step 6: Final answer
    x = 5,834.50

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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.