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Finding the Fourth Proportional to 11,608.41, 17,412.84 and 2,843.40

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Solution

The fourth proportional to 11,608.41, 17,412.84 and 2,843.40 is: 4,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.41 : 17,412.84 = 2,843.40 : x
  2. Step 2: Convert to fraction form
    11,608.41/17,412.84 = 2,843.40/x
  3. Step 3: Cross multiply
    11,608.41x = 17,412.84 × 2,843.40
  4. Step 4: Simplify right side
    11,608.41x = 49,511,669.26
  5. Step 5: Solve for x
    x = 49,511,669.26/11,608.41
  6. Step 6: Final answer
    x = 4,265.16

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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.