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Finding the Fourth Proportional to 8,586.74, 11,847.99 and 5,227.31

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Solution

The fourth proportional to 8,586.74, 11,847.99 and 5,227.31 is: 7,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.74 : 11,847.99 = 5,227.31 : x
  2. Step 2: Convert to fraction form
    8,586.74/11,847.99 = 5,227.31/x
  3. Step 3: Cross multiply
    8,586.74x = 11,847.99 × 5,227.31
  4. Step 4: Simplify right side
    8,586.74x = 61,933,116.61
  5. Step 5: Solve for x
    x = 61,933,116.61/8,586.74
  6. Step 6: Final answer
    x = 7,212.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.