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Finding the Fourth Proportional to 11,876.28, 17,846.74 and 6,333.54

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Solution

The fourth proportional to 11,876.28, 17,846.74 and 6,333.54 is: 9,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.28 : 17,846.74 = 6,333.54 : x
  2. Step 2: Convert to fraction form
    11,876.28/17,846.74 = 6,333.54/x
  3. Step 3: Cross multiply
    11,876.28x = 17,846.74 × 6,333.54
  4. Step 4: Simplify right side
    11,876.28x = 113,033,041.66
  5. Step 5: Solve for x
    x = 113,033,041.66/11,876.28
  6. Step 6: Final answer
    x = 9,517.55

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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.