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Finding the Fourth Proportional to 7,906.89, 11,856.85 and 4,208.25

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Solution

The fourth proportional to 7,906.89, 11,856.85 and 4,208.25 is: 6,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.89 : 11,856.85 = 4,208.25 : x
  2. Step 2: Convert to fraction form
    7,906.89/11,856.85 = 4,208.25/x
  3. Step 3: Cross multiply
    7,906.89x = 11,856.85 × 4,208.25
  4. Step 4: Simplify right side
    7,906.89x = 49,896,589.01
  5. Step 5: Solve for x
    x = 49,896,589.01/7,906.89
  6. Step 6: Final answer
    x = 6,310.52

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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.