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Finding the Fourth Proportional to 6,809.08, 10,211.40 and 2,191

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Solution

The fourth proportional to 6,809.08, 10,211.40 and 2,191 is: 3,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.08 : 10,211.40 = 2,191 : x
  2. Step 2: Convert to fraction form
    6,809.08/10,211.40 = 2,191/x
  3. Step 3: Cross multiply
    6,809.08x = 10,211.40 × 2,191
  4. Step 4: Simplify right side
    6,809.08x = 22,373,177.40
  5. Step 5: Solve for x
    x = 22,373,177.40/6,809.08
  6. Step 6: Final answer
    x = 3,285.79

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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.