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Finding the Fourth Proportional to 11,961, 17,941.50 and 3,753

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Solution

The fourth proportional to 11,961, 17,941.50 and 3,753 is: 5,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961 : 17,941.50 = 3,753 : x
  2. Step 2: Convert to fraction form
    11,961/17,941.50 = 3,753/x
  3. Step 3: Cross multiply
    11,961x = 17,941.50 × 3,753
  4. Step 4: Simplify right side
    11,961x = 67,334,449.50
  5. Step 5: Solve for x
    x = 67,334,449.50/11,961
  6. Step 6: Final answer
    x = 5,629.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.