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Finding the Fourth Proportional to 6,906.48, 10,357.28 and 2,226.30

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Solution

The fourth proportional to 6,906.48, 10,357.28 and 2,226.30 is: 3,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.48 : 10,357.28 = 2,226.30 : x
  2. Step 2: Convert to fraction form
    6,906.48/10,357.28 = 2,226.30/x
  3. Step 3: Cross multiply
    6,906.48x = 10,357.28 × 2,226.30
  4. Step 4: Simplify right side
    6,906.48x = 23,058,412.46
  5. Step 5: Solve for x
    x = 23,058,412.46/6,906.48
  6. Step 6: Final answer
    x = 3,338.66

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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.