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Finding the Fourth Proportional to 6,906.74, 10,357.52 and 2,227.95

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Solution

The fourth proportional to 6,906.74, 10,357.52 and 2,227.95 is: 3,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.74 : 10,357.52 = 2,227.95 : x
  2. Step 2: Convert to fraction form
    6,906.74/10,357.52 = 2,227.95/x
  3. Step 3: Cross multiply
    6,906.74x = 10,357.52 × 2,227.95
  4. Step 4: Simplify right side
    6,906.74x = 23,076,025.54
  5. Step 5: Solve for x
    x = 23,076,025.54/6,906.74
  6. Step 6: Final answer
    x = 3,341.09

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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.