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Finding the Fourth Proportional to 6,812.91, 10,214.51 and 2,649.51

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Solution

The fourth proportional to 6,812.91, 10,214.51 and 2,649.51 is: 3,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.91 : 10,214.51 = 2,649.51 : x
  2. Step 2: Convert to fraction form
    6,812.91/10,214.51 = 2,649.51/x
  3. Step 3: Cross multiply
    6,812.91x = 10,214.51 × 2,649.51
  4. Step 4: Simplify right side
    6,812.91x = 27,063,433.14
  5. Step 5: Solve for x
    x = 27,063,433.14/6,812.91
  6. Step 6: Final answer
    x = 3,972.37

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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.