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Finding the Fourth Proportional to 11,598.96, 17,398.44 and 2,833.86

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Solution

The fourth proportional to 11,598.96, 17,398.44 and 2,833.86 is: 4,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.96 : 17,398.44 = 2,833.86 : x
  2. Step 2: Convert to fraction form
    11,598.96/17,398.44 = 2,833.86/x
  3. Step 3: Cross multiply
    11,598.96x = 17,398.44 × 2,833.86
  4. Step 4: Simplify right side
    11,598.96x = 49,304,743.18
  5. Step 5: Solve for x
    x = 49,304,743.18/11,598.96
  6. Step 6: Final answer
    x = 4,250.79

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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.