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Finding the Fourth Proportional to 11,957, 17,941.98 and 5,801

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Solution

The fourth proportional to 11,957, 17,941.98 and 5,801 is: 8,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957 : 17,941.98 = 5,801 : x
  2. Step 2: Convert to fraction form
    11,957/17,941.98 = 5,801/x
  3. Step 3: Cross multiply
    11,957x = 17,941.98 × 5,801
  4. Step 4: Simplify right side
    11,957x = 104,081,425.98
  5. Step 5: Solve for x
    x = 104,081,425.98/11,957
  6. Step 6: Final answer
    x = 8,704.64

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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.