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Finding the Fourth Proportional to 11,963.92, 17,948.57 and 3,644.59

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Solution

The fourth proportional to 11,963.92, 17,948.57 and 3,644.59 is: 5,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.92 : 17,948.57 = 3,644.59 : x
  2. Step 2: Convert to fraction form
    11,963.92/17,948.57 = 3,644.59/x
  3. Step 3: Cross multiply
    11,963.92x = 17,948.57 × 3,644.59
  4. Step 4: Simplify right side
    11,963.92x = 65,415,178.74
  5. Step 5: Solve for x
    x = 65,415,178.74/11,963.92
  6. Step 6: Final answer
    x = 5,467.70

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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.