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Finding the Fourth Proportional to 11,912.34, 17,855.90 and 4,007.33

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Solution

The fourth proportional to 11,912.34, 17,855.90 and 4,007.33 is: 6,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.34 : 17,855.90 = 4,007.33 : x
  2. Step 2: Convert to fraction form
    11,912.34/17,855.90 = 4,007.33/x
  3. Step 3: Cross multiply
    11,912.34x = 17,855.90 × 4,007.33
  4. Step 4: Simplify right side
    11,912.34x = 71,554,483.75
  5. Step 5: Solve for x
    x = 71,554,483.75/11,912.34
  6. Step 6: Final answer
    x = 6,006.75

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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.