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Finding the Fourth Proportional to 11,222.69, 16,833.86 and 3,832.31

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Solution

The fourth proportional to 11,222.69, 16,833.86 and 3,832.31 is: 5,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.69 : 16,833.86 = 3,832.31 : x
  2. Step 2: Convert to fraction form
    11,222.69/16,833.86 = 3,832.31/x
  3. Step 3: Cross multiply
    11,222.69x = 16,833.86 × 3,832.31
  4. Step 4: Simplify right side
    11,222.69x = 64,512,607.31
  5. Step 5: Solve for x
    x = 64,512,607.31/11,222.69
  6. Step 6: Final answer
    x = 5,748.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.