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Finding the Fourth Proportional to 11,785.15, 17,676.51 and 3,993.76

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Solution

The fourth proportional to 11,785.15, 17,676.51 and 3,993.76 is: 5,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.15 : 17,676.51 = 3,993.76 : x
  2. Step 2: Convert to fraction form
    11,785.15/17,676.51 = 3,993.76/x
  3. Step 3: Cross multiply
    11,785.15x = 17,676.51 × 3,993.76
  4. Step 4: Simplify right side
    11,785.15x = 70,595,738.58
  5. Step 5: Solve for x
    x = 70,595,738.58/11,785.15
  6. Step 6: Final answer
    x = 5,990.23

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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.