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Finding the Fourth Proportional to 11,722.35, 17,584.35 and 4,327.32

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Solution

The fourth proportional to 11,722.35, 17,584.35 and 4,327.32 is: 6,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.35 : 17,584.35 = 4,327.32 : x
  2. Step 2: Convert to fraction form
    11,722.35/17,584.35 = 4,327.32/x
  3. Step 3: Cross multiply
    11,722.35x = 17,584.35 × 4,327.32
  4. Step 4: Simplify right side
    11,722.35x = 76,093,109.44
  5. Step 5: Solve for x
    x = 76,093,109.44/11,722.35
  6. Step 6: Final answer
    x = 6,491.28

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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.