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Finding the Fourth Proportional to 6,812.46, 10,214.64 and 3,651.66

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Solution

The fourth proportional to 6,812.46, 10,214.64 and 3,651.66 is: 5,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.46 : 10,214.64 = 3,651.66 : x
  2. Step 2: Convert to fraction form
    6,812.46/10,214.64 = 3,651.66/x
  3. Step 3: Cross multiply
    6,812.46x = 10,214.64 × 3,651.66
  4. Step 4: Simplify right side
    6,812.46x = 37,300,392.30
  5. Step 5: Solve for x
    x = 37,300,392.30/6,812.46
  6. Step 6: Final answer
    x = 5,475.32

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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.