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Finding the Fourth Proportional to 11,963.64, 17,946.18 and 3,644.22

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Solution

The fourth proportional to 11,963.64, 17,946.18 and 3,644.22 is: 5,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.64 : 17,946.18 = 3,644.22 : x
  2. Step 2: Convert to fraction form
    11,963.64/17,946.18 = 3,644.22/x
  3. Step 3: Cross multiply
    11,963.64x = 17,946.18 × 3,644.22
  4. Step 4: Simplify right side
    11,963.64x = 65,399,828.08
  5. Step 5: Solve for x
    x = 65,399,828.08/11,963.64
  6. Step 6: Final answer
    x = 5,466.55

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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.