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Finding the Fourth Proportional to 11,963, 17,947.40 and 3,755

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Solution

The fourth proportional to 11,963, 17,947.40 and 3,755 is: 5,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963 : 17,947.40 = 3,755 : x
  2. Step 2: Convert to fraction form
    11,963/17,947.40 = 3,755/x
  3. Step 3: Cross multiply
    11,963x = 17,947.40 × 3,755
  4. Step 4: Simplify right side
    11,963x = 67,392,487
  5. Step 5: Solve for x
    x = 67,392,487/11,963
  6. Step 6: Final answer
    x = 5,633.41

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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.