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Finding the Fourth Proportional to 11,843.04, 16,412.52 and 11,676

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Solution

The fourth proportional to 11,843.04, 16,412.52 and 11,676 is: 16,181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.04 : 16,412.52 = 11,676 : x
  2. Step 2: Convert to fraction form
    11,843.04/16,412.52 = 11,676/x
  3. Step 3: Cross multiply
    11,843.04x = 16,412.52 × 11,676
  4. Step 4: Simplify right side
    11,843.04x = 191,632,583.52
  5. Step 5: Solve for x
    x = 191,632,583.52/11,843.04
  6. Step 6: Final answer
    x = 16,181.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.