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Finding the Fourth Proportional to 11,571.21, 17,356.82 and 3,674.56

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Solution

The fourth proportional to 11,571.21, 17,356.82 and 3,674.56 is: 5,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.21 : 17,356.82 = 3,674.56 : x
  2. Step 2: Convert to fraction form
    11,571.21/17,356.82 = 3,674.56/x
  3. Step 3: Cross multiply
    11,571.21x = 17,356.82 × 3,674.56
  4. Step 4: Simplify right side
    11,571.21x = 63,778,676.50
  5. Step 5: Solve for x
    x = 63,778,676.50/11,571.21
  6. Step 6: Final answer
    x = 5,511.84

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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.