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Finding the Fourth Proportional to 11,993.81, 17,967.34 and 7,302.19

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Solution

The fourth proportional to 11,993.81, 17,967.34 and 7,302.19 is: 10,939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.81 : 17,967.34 = 7,302.19 : x
  2. Step 2: Convert to fraction form
    11,993.81/17,967.34 = 7,302.19/x
  3. Step 3: Cross multiply
    11,993.81x = 17,967.34 × 7,302.19
  4. Step 4: Simplify right side
    11,993.81x = 131,200,930.47
  5. Step 5: Solve for x
    x = 131,200,930.47/11,993.81
  6. Step 6: Final answer
    x = 10,939.05

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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.