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Finding the Fourth Proportional to 7,414.22, 10,208.31 and 6,292.82

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Solution

The fourth proportional to 7,414.22, 10,208.31 and 6,292.82 is: 8,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.22 : 10,208.31 = 6,292.82 : x
  2. Step 2: Convert to fraction form
    7,414.22/10,208.31 = 6,292.82/x
  3. Step 3: Cross multiply
    7,414.22x = 10,208.31 × 6,292.82
  4. Step 4: Simplify right side
    7,414.22x = 64,239,057.33
  5. Step 5: Solve for x
    x = 64,239,057.33/7,414.22
  6. Step 6: Final answer
    x = 8,664.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.