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Finding the Fourth Proportional to 11,597.43, 17,396 and 2,832.42

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Solution

The fourth proportional to 11,597.43, 17,396 and 2,832.42 is: 4,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.43 : 17,396 = 2,832.42 : x
  2. Step 2: Convert to fraction form
    11,597.43/17,396 = 2,832.42/x
  3. Step 3: Cross multiply
    11,597.43x = 17,396 × 2,832.42
  4. Step 4: Simplify right side
    11,597.43x = 49,272,778.32
  5. Step 5: Solve for x
    x = 49,272,778.32/11,597.43
  6. Step 6: Final answer
    x = 4,248.59

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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.