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Finding the Fourth Proportional to 7,944.45, 11,906.06 and 4,188.57

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Solution

The fourth proportional to 7,944.45, 11,906.06 and 4,188.57 is: 6,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.45 : 11,906.06 = 4,188.57 : x
  2. Step 2: Convert to fraction form
    7,944.45/11,906.06 = 4,188.57/x
  3. Step 3: Cross multiply
    7,944.45x = 11,906.06 × 4,188.57
  4. Step 4: Simplify right side
    7,944.45x = 49,869,365.73
  5. Step 5: Solve for x
    x = 49,869,365.73/7,944.45
  6. Step 6: Final answer
    x = 6,277.26

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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.