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Finding the Fourth Proportional to 11,897.82, 16,420.32 and 6,593.94

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Solution

The fourth proportional to 11,897.82, 16,420.32 and 6,593.94 is: 9,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.82 : 16,420.32 = 6,593.94 : x
  2. Step 2: Convert to fraction form
    11,897.82/16,420.32 = 6,593.94/x
  3. Step 3: Cross multiply
    11,897.82x = 16,420.32 × 6,593.94
  4. Step 4: Simplify right side
    11,897.82x = 108,274,604.86
  5. Step 5: Solve for x
    x = 108,274,604.86/11,897.82
  6. Step 6: Final answer
    x = 9,100.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.