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Finding the Fourth Proportional to 7,858.29, 10,861.77 and 6,906.94

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Solution

The fourth proportional to 7,858.29, 10,861.77 and 6,906.94 is: 9,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.29 : 10,861.77 = 6,906.94 : x
  2. Step 2: Convert to fraction form
    7,858.29/10,861.77 = 6,906.94/x
  3. Step 3: Cross multiply
    7,858.29x = 10,861.77 × 6,906.94
  4. Step 4: Simplify right side
    7,858.29x = 75,021,593.68
  5. Step 5: Solve for x
    x = 75,021,593.68/7,858.29
  6. Step 6: Final answer
    x = 9,546.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.