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Finding the Fourth Proportional to 6,107.54, 9,164.21 and 2,818.80

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Solution

The fourth proportional to 6,107.54, 9,164.21 and 2,818.80 is: 4,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.54 : 9,164.21 = 2,818.80 : x
  2. Step 2: Convert to fraction form
    6,107.54/9,164.21 = 2,818.80/x
  3. Step 3: Cross multiply
    6,107.54x = 9,164.21 × 2,818.80
  4. Step 4: Simplify right side
    6,107.54x = 25,832,061.05
  5. Step 5: Solve for x
    x = 25,832,061.05/6,107.54
  6. Step 6: Final answer
    x = 4,229.54

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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.