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Finding the Fourth Proportional to 27,783.34, 41,667.60 and 7,791.73

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Solution

The fourth proportional to 27,783.34, 41,667.60 and 7,791.73 is: 11,685.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.34 : 41,667.60 = 7,791.73 : x
  2. Step 2: Convert to fraction form
    27,783.34/41,667.60 = 7,791.73/x
  3. Step 3: Cross multiply
    27,783.34x = 41,667.60 × 7,791.73
  4. Step 4: Simplify right side
    27,783.34x = 324,662,688.95
  5. Step 5: Solve for x
    x = 324,662,688.95/27,783.34
  6. Step 6: Final answer
    x = 11,685.52

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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.