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Finding the Fourth Proportional to 11,894.73, 17,843.30 and 4,101.72

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Solution

The fourth proportional to 11,894.73, 17,843.30 and 4,101.72 is: 6,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.73 : 17,843.30 = 4,101.72 : x
  2. Step 2: Convert to fraction form
    11,894.73/17,843.30 = 4,101.72/x
  3. Step 3: Cross multiply
    11,894.73x = 17,843.30 × 4,101.72
  4. Step 4: Simplify right side
    11,894.73x = 73,188,220.48
  5. Step 5: Solve for x
    x = 73,188,220.48/11,894.73
  6. Step 6: Final answer
    x = 6,153.00

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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.