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Finding the Fourth Proportional to 27,580.23, 41,376.84 and 7,859.07

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Solution

The fourth proportional to 27,580.23, 41,376.84 and 7,859.07 is: 11,790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.23 : 41,376.84 = 7,859.07 : x
  2. Step 2: Convert to fraction form
    27,580.23/41,376.84 = 7,859.07/x
  3. Step 3: Cross multiply
    27,580.23x = 41,376.84 × 7,859.07
  4. Step 4: Simplify right side
    27,580.23x = 325,183,481.94
  5. Step 5: Solve for x
    x = 325,183,481.94/27,580.23
  6. Step 6: Final answer
    x = 11,790.46

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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.