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Finding the Fourth Proportional to 11,785.14, 17,680.14 and 3,993.75

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Solution

The fourth proportional to 11,785.14, 17,680.14 and 3,993.75 is: 5,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.14 : 17,680.14 = 3,993.75 : x
  2. Step 2: Convert to fraction form
    11,785.14/17,680.14 = 3,993.75/x
  3. Step 3: Cross multiply
    11,785.14x = 17,680.14 × 3,993.75
  4. Step 4: Simplify right side
    11,785.14x = 70,610,059.13
  5. Step 5: Solve for x
    x = 70,610,059.13/11,785.14
  6. Step 6: Final answer
    x = 5,991.45

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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.