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Finding the Fourth Proportional to 11,973.57, 17,963.27 and 3,653.74

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Solution

The fourth proportional to 11,973.57, 17,963.27 and 3,653.74 is: 5,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.57 : 17,963.27 = 3,653.74 : x
  2. Step 2: Convert to fraction form
    11,973.57/17,963.27 = 3,653.74/x
  3. Step 3: Cross multiply
    11,973.57x = 17,963.27 × 3,653.74
  4. Step 4: Simplify right side
    11,973.57x = 65,633,010.04
  5. Step 5: Solve for x
    x = 65,633,010.04/11,973.57
  6. Step 6: Final answer
    x = 5,481.49

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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.