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Finding the Fourth Proportional to 11,632.73, 16,047.25 and 7,601.92

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Solution

The fourth proportional to 11,632.73, 16,047.25 and 7,601.92 is: 10,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.73 : 16,047.25 = 7,601.92 : x
  2. Step 2: Convert to fraction form
    11,632.73/16,047.25 = 7,601.92/x
  3. Step 3: Cross multiply
    11,632.73x = 16,047.25 × 7,601.92
  4. Step 4: Simplify right side
    11,632.73x = 121,989,851.60
  5. Step 5: Solve for x
    x = 121,989,851.60/11,632.73
  6. Step 6: Final answer
    x = 10,486.78

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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.