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Finding the Fourth Proportional to 6,770.38, 10,141.16 and 3,847.18

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Solution

The fourth proportional to 6,770.38, 10,141.16 and 3,847.18 is: 5,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.38 : 10,141.16 = 3,847.18 : x
  2. Step 2: Convert to fraction form
    6,770.38/10,141.16 = 3,847.18/x
  3. Step 3: Cross multiply
    6,770.38x = 10,141.16 × 3,847.18
  4. Step 4: Simplify right side
    6,770.38x = 39,014,867.93
  5. Step 5: Solve for x
    x = 39,014,867.93/6,770.38
  6. Step 6: Final answer
    x = 5,762.58

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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.