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Finding the Fourth Proportional to 27,586.44, 41,373.45 and 7,864.56

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Solution

The fourth proportional to 27,586.44, 41,373.45 and 7,864.56 is: 11,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586.44 : 41,373.45 = 7,864.56 : x
  2. Step 2: Convert to fraction form
    27,586.44/41,373.45 = 7,864.56/x
  3. Step 3: Cross multiply
    27,586.44x = 41,373.45 × 7,864.56
  4. Step 4: Simplify right side
    27,586.44x = 325,383,979.93
  5. Step 5: Solve for x
    x = 325,383,979.93/27,586.44
  6. Step 6: Final answer
    x = 11,795.07

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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.