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Finding the Fourth Proportional to 27,592.41, 41,383.11 and 7,865.67

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Solution

The fourth proportional to 27,592.41, 41,383.11 and 7,865.67 is: 11,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,592.41 : 41,383.11 = 7,865.67 : x
  2. Step 2: Convert to fraction form
    27,592.41/41,383.11 = 7,865.67/x
  3. Step 3: Cross multiply
    27,592.41x = 41,383.11 × 7,865.67
  4. Step 4: Simplify right side
    27,592.41x = 325,505,886.83
  5. Step 5: Solve for x
    x = 325,505,886.83/27,592.41
  6. Step 6: Final answer
    x = 11,796.94

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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.