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Finding the Fourth Proportional to 11,475.86, 17,213.43 and 3,267.86

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Solution

The fourth proportional to 11,475.86, 17,213.43 and 3,267.86 is: 4,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.86 : 17,213.43 = 3,267.86 : x
  2. Step 2: Convert to fraction form
    11,475.86/17,213.43 = 3,267.86/x
  3. Step 3: Cross multiply
    11,475.86x = 17,213.43 × 3,267.86
  4. Step 4: Simplify right side
    11,475.86x = 56,251,079.36
  5. Step 5: Solve for x
    x = 56,251,079.36/11,475.86
  6. Step 6: Final answer
    x = 4,901.69

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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.