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Finding the Fourth Proportional to 6,805.79, 10,189.20 and 4,610.62

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Solution

The fourth proportional to 6,805.79, 10,189.20 and 4,610.62 is: 6,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.79 : 10,189.20 = 4,610.62 : x
  2. Step 2: Convert to fraction form
    6,805.79/10,189.20 = 4,610.62/x
  3. Step 3: Cross multiply
    6,805.79x = 10,189.20 × 4,610.62
  4. Step 4: Simplify right side
    6,805.79x = 46,978,478.36
  5. Step 5: Solve for x
    x = 46,978,478.36/6,805.79
  6. Step 6: Final answer
    x = 6,902.73

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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.