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Finding the Fourth Proportional to 11,682.36, 17,524.50 and 5,833.56

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Solution

The fourth proportional to 11,682.36, 17,524.50 and 5,833.56 is: 8,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.36 : 17,524.50 = 5,833.56 : x
  2. Step 2: Convert to fraction form
    11,682.36/17,524.50 = 5,833.56/x
  3. Step 3: Cross multiply
    11,682.36x = 17,524.50 × 5,833.56
  4. Step 4: Simplify right side
    11,682.36x = 102,230,222.22
  5. Step 5: Solve for x
    x = 102,230,222.22/11,682.36
  6. Step 6: Final answer
    x = 8,750.82

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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.