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Finding the Fourth Proportional to 11,347.86, 17,021.79 and 3,027.91

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Solution

The fourth proportional to 11,347.86, 17,021.79 and 3,027.91 is: 4,541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.86 : 17,021.79 = 3,027.91 : x
  2. Step 2: Convert to fraction form
    11,347.86/17,021.79 = 3,027.91/x
  3. Step 3: Cross multiply
    11,347.86x = 17,021.79 × 3,027.91
  4. Step 4: Simplify right side
    11,347.86x = 51,540,392.49
  5. Step 5: Solve for x
    x = 51,540,392.49/11,347.86
  6. Step 6: Final answer
    x = 4,541.86

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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.