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Finding the Fourth Proportional to 6,906.96, 10,357.69 and 3,008.63

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Solution

The fourth proportional to 6,906.96, 10,357.69 and 3,008.63 is: 4,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.96 : 10,357.69 = 3,008.63 : x
  2. Step 2: Convert to fraction form
    6,906.96/10,357.69 = 3,008.63/x
  3. Step 3: Cross multiply
    6,906.96x = 10,357.69 × 3,008.63
  4. Step 4: Simplify right side
    6,906.96x = 31,162,456.86
  5. Step 5: Solve for x
    x = 31,162,456.86/6,906.96
  6. Step 6: Final answer
    x = 4,511.75

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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.