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Finding the Fourth Proportional to 8,620.80, 11,896.68 and 4,844

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Solution

The fourth proportional to 8,620.80, 11,896.68 and 4,844 is: 6,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,620.80 : 11,896.68 = 4,844 : x
  2. Step 2: Convert to fraction form
    8,620.80/11,896.68 = 4,844/x
  3. Step 3: Cross multiply
    8,620.80x = 11,896.68 × 4,844
  4. Step 4: Simplify right side
    8,620.80x = 57,627,517.92
  5. Step 5: Solve for x
    x = 57,627,517.92/8,620.80
  6. Step 6: Final answer
    x = 6,684.71

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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.