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Finding the Fourth Proportional to 27,586.93, 41,380.78 and 7,865.48

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Solution

The fourth proportional to 27,586.93, 41,380.78 and 7,865.48 is: 11,798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586.93 : 41,380.78 = 7,865.48 : x
  2. Step 2: Convert to fraction form
    27,586.93/41,380.78 = 7,865.48/x
  3. Step 3: Cross multiply
    27,586.93x = 41,380.78 × 7,865.48
  4. Step 4: Simplify right side
    27,586.93x = 325,479,825.75
  5. Step 5: Solve for x
    x = 325,479,825.75/27,586.93
  6. Step 6: Final answer
    x = 11,798.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.