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Finding the Fourth Proportional to 27,586.25, 41,379.48 and 6,809.75

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Solution

The fourth proportional to 27,586.25, 41,379.48 and 6,809.75 is: 10,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586.25 : 41,379.48 = 6,809.75 : x
  2. Step 2: Convert to fraction form
    27,586.25/41,379.48 = 6,809.75/x
  3. Step 3: Cross multiply
    27,586.25x = 41,379.48 × 6,809.75
  4. Step 4: Simplify right side
    27,586.25x = 281,783,913.93
  5. Step 5: Solve for x
    x = 281,783,913.93/27,586.25
  6. Step 6: Final answer
    x = 10,214.65

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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.