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Finding the Fourth Proportional to 11,894.10, 17,843.19 and 4,101.09

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Solution

The fourth proportional to 11,894.10, 17,843.19 and 4,101.09 is: 6,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.10 : 17,843.19 = 4,101.09 : x
  2. Step 2: Convert to fraction form
    11,894.10/17,843.19 = 4,101.09/x
  3. Step 3: Cross multiply
    11,894.10x = 17,843.19 × 4,101.09
  4. Step 4: Simplify right side
    11,894.10x = 73,176,528.08
  5. Step 5: Solve for x
    x = 73,176,528.08/11,894.10
  6. Step 6: Final answer
    x = 6,152.34

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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.