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Finding the Fourth Proportional to 6,906.56, 10,370.22 and 4,145.59

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Solution

The fourth proportional to 6,906.56, 10,370.22 and 4,145.59 is: 6,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.56 : 10,370.22 = 4,145.59 : x
  2. Step 2: Convert to fraction form
    6,906.56/10,370.22 = 4,145.59/x
  3. Step 3: Cross multiply
    6,906.56x = 10,370.22 × 4,145.59
  4. Step 4: Simplify right side
    6,906.56x = 42,990,642.73
  5. Step 5: Solve for x
    x = 42,990,642.73/6,906.56
  6. Step 6: Final answer
    x = 6,224.61

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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.