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Finding the Fourth Proportional to 27,487.54, 41,233.02 and 7,767.61

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Solution

The fourth proportional to 27,487.54, 41,233.02 and 7,767.61 is: 11,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,487.54 : 41,233.02 = 7,767.61 : x
  2. Step 2: Convert to fraction form
    27,487.54/41,233.02 = 7,767.61/x
  3. Step 3: Cross multiply
    27,487.54x = 41,233.02 × 7,767.61
  4. Step 4: Simplify right side
    27,487.54x = 320,282,018.48
  5. Step 5: Solve for x
    x = 320,282,018.48/27,487.54
  6. Step 6: Final answer
    x = 11,651.90

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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.