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Finding the Fourth Proportional to 27,585.75, 41,378.73 and 6,809.25

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Solution

The fourth proportional to 27,585.75, 41,378.73 and 6,809.25 is: 10,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,585.75 : 41,378.73 = 6,809.25 : x
  2. Step 2: Convert to fraction form
    27,585.75/41,378.73 = 6,809.25/x
  3. Step 3: Cross multiply
    27,585.75x = 41,378.73 × 6,809.25
  4. Step 4: Simplify right side
    27,585.75x = 281,758,117.25
  5. Step 5: Solve for x
    x = 281,758,117.25/27,585.75
  6. Step 6: Final answer
    x = 10,213.90

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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.