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Finding the Fourth Proportional to 11,897.75, 17,849.30 and 4,000.59

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Solution

The fourth proportional to 11,897.75, 17,849.30 and 4,000.59 is: 6,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.75 : 17,849.30 = 4,000.59 : x
  2. Step 2: Convert to fraction form
    11,897.75/17,849.30 = 4,000.59/x
  3. Step 3: Cross multiply
    11,897.75x = 17,849.30 × 4,000.59
  4. Step 4: Simplify right side
    11,897.75x = 71,407,711.08
  5. Step 5: Solve for x
    x = 71,407,711.08/11,897.75
  6. Step 6: Final answer
    x = 6,001.78

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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.