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Finding the Fourth Proportional to 11,820.57, 17,731.81 and 3,922.76

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Solution

The fourth proportional to 11,820.57, 17,731.81 and 3,922.76 is: 5,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.57 : 17,731.81 = 3,922.76 : x
  2. Step 2: Convert to fraction form
    11,820.57/17,731.81 = 3,922.76/x
  3. Step 3: Cross multiply
    11,820.57x = 17,731.81 × 3,922.76
  4. Step 4: Simplify right side
    11,820.57x = 69,557,635.00
  5. Step 5: Solve for x
    x = 69,557,635.00/11,820.57
  6. Step 6: Final answer
    x = 5,884.46

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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.