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Finding the Fourth Proportional to 27,586.75, 41,380.23 and 6,810.25

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Solution

The fourth proportional to 27,586.75, 41,380.23 and 6,810.25 is: 10,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586.75 : 41,380.23 = 6,810.25 : x
  2. Step 2: Convert to fraction form
    27,586.75/41,380.23 = 6,810.25/x
  3. Step 3: Cross multiply
    27,586.75x = 41,380.23 × 6,810.25
  4. Step 4: Simplify right side
    27,586.75x = 281,809,711.36
  5. Step 5: Solve for x
    x = 281,809,711.36/27,586.75
  6. Step 6: Final answer
    x = 10,215.40

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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.