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Finding the Fourth Proportional to 11,563.86, 17,340.37 and 4,167.34

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Solution

The fourth proportional to 11,563.86, 17,340.37 and 4,167.34 is: 6,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.86 : 17,340.37 = 4,167.34 : x
  2. Step 2: Convert to fraction form
    11,563.86/17,340.37 = 4,167.34/x
  3. Step 3: Cross multiply
    11,563.86x = 17,340.37 × 4,167.34
  4. Step 4: Simplify right side
    11,563.86x = 72,263,217.52
  5. Step 5: Solve for x
    x = 72,263,217.52/11,563.86
  6. Step 6: Final answer
    x = 6,249.06

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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.