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Finding the Fourth Proportional to 11,963.76, 17,948.04 and 3,644.40

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Solution

The fourth proportional to 11,963.76, 17,948.04 and 3,644.40 is: 5,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.76 : 17,948.04 = 3,644.40 : x
  2. Step 2: Convert to fraction form
    11,963.76/17,948.04 = 3,644.40/x
  3. Step 3: Cross multiply
    11,963.76x = 17,948.04 × 3,644.40
  4. Step 4: Simplify right side
    11,963.76x = 65,409,836.98
  5. Step 5: Solve for x
    x = 65,409,836.98/11,963.76
  6. Step 6: Final answer
    x = 5,467.33

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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.