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Finding the Fourth Proportional to 6,974.80, 10,464.22 and 2,812.66

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Solution

The fourth proportional to 6,974.80, 10,464.22 and 2,812.66 is: 4,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.80 : 10,464.22 = 2,812.66 : x
  2. Step 2: Convert to fraction form
    6,974.80/10,464.22 = 2,812.66/x
  3. Step 3: Cross multiply
    6,974.80x = 10,464.22 × 2,812.66
  4. Step 4: Simplify right side
    6,974.80x = 29,432,293.03
  5. Step 5: Solve for x
    x = 29,432,293.03/6,974.80
  6. Step 6: Final answer
    x = 4,219.80

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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.