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Finding the Fourth Proportional to 27,808.48, 41,716.79 and 8,084.49

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Solution

The fourth proportional to 27,808.48, 41,716.79 and 8,084.49 is: 12,127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808.48 : 41,716.79 = 8,084.49 : x
  2. Step 2: Convert to fraction form
    27,808.48/41,716.79 = 8,084.49/x
  3. Step 3: Cross multiply
    27,808.48x = 41,716.79 × 8,084.49
  4. Step 4: Simplify right side
    27,808.48x = 337,258,971.59
  5. Step 5: Solve for x
    x = 337,258,971.59/27,808.48
  6. Step 6: Final answer
    x = 12,127.92

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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.