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Finding the Fourth Proportional to 11,963.28, 17,964.36 and 7,375.44

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Solution

The fourth proportional to 11,963.28, 17,964.36 and 7,375.44 is: 11,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.28 : 17,964.36 = 7,375.44 : x
  2. Step 2: Convert to fraction form
    11,963.28/17,964.36 = 7,375.44/x
  3. Step 3: Cross multiply
    11,963.28x = 17,964.36 × 7,375.44
  4. Step 4: Simplify right side
    11,963.28x = 132,495,059.32
  5. Step 5: Solve for x
    x = 132,495,059.32/11,963.28
  6. Step 6: Final answer
    x = 11,075.14

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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.