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Finding the Fourth Proportional to 11,963.61, 17,946.30 and 3,644.34

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Solution

The fourth proportional to 11,963.61, 17,946.30 and 3,644.34 is: 5,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.61 : 17,946.30 = 3,644.34 : x
  2. Step 2: Convert to fraction form
    11,963.61/17,946.30 = 3,644.34/x
  3. Step 3: Cross multiply
    11,963.61x = 17,946.30 × 3,644.34
  4. Step 4: Simplify right side
    11,963.61x = 65,402,418.94
  5. Step 5: Solve for x
    x = 65,402,418.94/11,963.61
  6. Step 6: Final answer
    x = 5,466.78

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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.