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Finding the Fourth Proportional to 11,740.85, 16,201.87 and 7,027.73

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Solution

The fourth proportional to 11,740.85, 16,201.87 and 7,027.73 is: 9,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.85 : 16,201.87 = 7,027.73 : x
  2. Step 2: Convert to fraction form
    11,740.85/16,201.87 = 7,027.73/x
  3. Step 3: Cross multiply
    11,740.85x = 16,201.87 × 7,027.73
  4. Step 4: Simplify right side
    11,740.85x = 113,862,390.79
  5. Step 5: Solve for x
    x = 113,862,390.79/11,740.85
  6. Step 6: Final answer
    x = 9,697.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.