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Finding the Fourth Proportional to 11,993.28, 17,991 and 4,093.14

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Solution

The fourth proportional to 11,993.28, 17,991 and 4,093.14 is: 6,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.28 : 17,991 = 4,093.14 : x
  2. Step 2: Convert to fraction form
    11,993.28/17,991 = 4,093.14/x
  3. Step 3: Cross multiply
    11,993.28x = 17,991 × 4,093.14
  4. Step 4: Simplify right side
    11,993.28x = 73,639,681.74
  5. Step 5: Solve for x
    x = 73,639,681.74/11,993.28
  6. Step 6: Final answer
    x = 6,140.08

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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.