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Finding the Fourth Proportional to 11,927.86, 17,892.50 and 4,029.68

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Solution

The fourth proportional to 11,927.86, 17,892.50 and 4,029.68 is: 6,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,927.86 : 17,892.50 = 4,029.68 : x
  2. Step 2: Convert to fraction form
    11,927.86/17,892.50 = 4,029.68/x
  3. Step 3: Cross multiply
    11,927.86x = 17,892.50 × 4,029.68
  4. Step 4: Simplify right side
    11,927.86x = 72,101,073.98
  5. Step 5: Solve for x
    x = 72,101,073.98/11,927.86
  6. Step 6: Final answer
    x = 6,044.76

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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.