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Finding the Fourth Proportional to 11,550.42, 17,327.22 and 4,153.50

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Solution

The fourth proportional to 11,550.42, 17,327.22 and 4,153.50 is: 6,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,550.42 : 17,327.22 = 4,153.50 : x
  2. Step 2: Convert to fraction form
    11,550.42/17,327.22 = 4,153.50/x
  3. Step 3: Cross multiply
    11,550.42x = 17,327.22 × 4,153.50
  4. Step 4: Simplify right side
    11,550.42x = 71,968,608.27
  5. Step 5: Solve for x
    x = 71,968,608.27/11,550.42
  6. Step 6: Final answer
    x = 6,230.82

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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.