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Finding the Fourth Proportional to 6,211.14, 8,572.70 and 3,821.10

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Solution

The fourth proportional to 6,211.14, 8,572.70 and 3,821.10 is: 5,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.14 : 8,572.70 = 3,821.10 : x
  2. Step 2: Convert to fraction form
    6,211.14/8,572.70 = 3,821.10/x
  3. Step 3: Cross multiply
    6,211.14x = 8,572.70 × 3,821.10
  4. Step 4: Simplify right side
    6,211.14x = 32,757,143.97
  5. Step 5: Solve for x
    x = 32,757,143.97/6,211.14
  6. Step 6: Final answer
    x = 5,273.93

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