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Finding the Fourth Proportional to 7,906.74, 11,858.78 and 2,641.28

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Solution

The fourth proportional to 7,906.74, 11,858.78 and 2,641.28 is: 3,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.74 : 11,858.78 = 2,641.28 : x
  2. Step 2: Convert to fraction form
    7,906.74/11,858.78 = 2,641.28/x
  3. Step 3: Cross multiply
    7,906.74x = 11,858.78 × 2,641.28
  4. Step 4: Simplify right side
    7,906.74x = 31,322,285.94
  5. Step 5: Solve for x
    x = 31,322,285.94/7,906.74
  6. Step 6: Final answer
    x = 3,961.47

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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.