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Finding the Fourth Proportional to 11,957.52, 17,936.28 and 3,192.48

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Solution

The fourth proportional to 11,957.52, 17,936.28 and 3,192.48 is: 4,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.52 : 17,936.28 = 3,192.48 : x
  2. Step 2: Convert to fraction form
    11,957.52/17,936.28 = 3,192.48/x
  3. Step 3: Cross multiply
    11,957.52x = 17,936.28 × 3,192.48
  4. Step 4: Simplify right side
    11,957.52x = 57,261,215.17
  5. Step 5: Solve for x
    x = 57,261,215.17/11,957.52
  6. Step 6: Final answer
    x = 4,788.72

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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.