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Finding the Fourth Proportional to 11,905.33, 17,833.77 and 7,732.69

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Solution

The fourth proportional to 11,905.33, 17,833.77 and 7,732.69 is: 11,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.33 : 17,833.77 = 7,732.69 : x
  2. Step 2: Convert to fraction form
    11,905.33/17,833.77 = 7,732.69/x
  3. Step 3: Cross multiply
    11,905.33x = 17,833.77 × 7,732.69
  4. Step 4: Simplify right side
    11,905.33x = 137,903,014.94
  5. Step 5: Solve for x
    x = 137,903,014.94/11,905.33
  6. Step 6: Final answer
    x = 11,583.30

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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.