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Finding the Fourth Proportional to 7,086.20, 10,604.10 and 6,171.80

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Solution

The fourth proportional to 7,086.20, 10,604.10 and 6,171.80 is: 9,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.20 : 10,604.10 = 6,171.80 : x
  2. Step 2: Convert to fraction form
    7,086.20/10,604.10 = 6,171.80/x
  3. Step 3: Cross multiply
    7,086.20x = 10,604.10 × 6,171.80
  4. Step 4: Simplify right side
    7,086.20x = 65,446,384.38
  5. Step 5: Solve for x
    x = 65,446,384.38/7,086.20
  6. Step 6: Final answer
    x = 9,235.75

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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.