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Finding the Fourth Proportional to 27,497.48, 41,243.78 and 7,775.60

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Solution

The fourth proportional to 27,497.48, 41,243.78 and 7,775.60 is: 11,662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,497.48 : 41,243.78 = 7,775.60 : x
  2. Step 2: Convert to fraction form
    27,497.48/41,243.78 = 7,775.60/x
  3. Step 3: Cross multiply
    27,497.48x = 41,243.78 × 7,775.60
  4. Step 4: Simplify right side
    27,497.48x = 320,694,948.99
  5. Step 5: Solve for x
    x = 320,694,948.99/27,497.48
  6. Step 6: Final answer
    x = 11,662.71

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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.