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Finding the Fourth Proportional to 6,906.30, 10,359.45 and 3,625.80

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Solution

The fourth proportional to 6,906.30, 10,359.45 and 3,625.80 is: 5,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.30 : 10,359.45 = 3,625.80 : x
  2. Step 2: Convert to fraction form
    6,906.30/10,359.45 = 3,625.80/x
  3. Step 3: Cross multiply
    6,906.30x = 10,359.45 × 3,625.80
  4. Step 4: Simplify right side
    6,906.30x = 37,561,293.81
  5. Step 5: Solve for x
    x = 37,561,293.81/6,906.30
  6. Step 6: Final answer
    x = 5,438.70

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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.