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Finding the Fourth Proportional to 27,679.18, 41,518.91 and 6,902.68

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Solution

The fourth proportional to 27,679.18, 41,518.91 and 6,902.68 is: 10,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,679.18 : 41,518.91 = 6,902.68 : x
  2. Step 2: Convert to fraction form
    27,679.18/41,518.91 = 6,902.68/x
  3. Step 3: Cross multiply
    27,679.18x = 41,518.91 × 6,902.68
  4. Step 4: Simplify right side
    27,679.18x = 286,591,507.57
  5. Step 5: Solve for x
    x = 286,591,507.57/27,679.18
  6. Step 6: Final answer
    x = 10,354.05

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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.