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Finding the Fourth Proportional to 11,524.84, 17,289.76 and 3,734.44

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Solution

The fourth proportional to 11,524.84, 17,289.76 and 3,734.44 is: 5,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.84 : 17,289.76 = 3,734.44 : x
  2. Step 2: Convert to fraction form
    11,524.84/17,289.76 = 3,734.44/x
  3. Step 3: Cross multiply
    11,524.84x = 17,289.76 × 3,734.44
  4. Step 4: Simplify right side
    11,524.84x = 64,567,571.33
  5. Step 5: Solve for x
    x = 64,567,571.33/11,524.84
  6. Step 6: Final answer
    x = 5,602.47

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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.