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Finding the Fourth Proportional to 11,904.33, 17,832.27 and 7,731.69

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Solution

The fourth proportional to 11,904.33, 17,832.27 and 7,731.69 is: 11,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.33 : 17,832.27 = 7,731.69 : x
  2. Step 2: Convert to fraction form
    11,904.33/17,832.27 = 7,731.69/x
  3. Step 3: Cross multiply
    11,904.33x = 17,832.27 × 7,731.69
  4. Step 4: Simplify right side
    11,904.33x = 137,873,583.64
  5. Step 5: Solve for x
    x = 137,873,583.64/11,904.33
  6. Step 6: Final answer
    x = 11,581.80

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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.