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Finding the Fourth Proportional to 8,085.42, 11,160.99 and 6,227.82

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Solution

The fourth proportional to 8,085.42, 11,160.99 and 6,227.82 is: 8,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.42 : 11,160.99 = 6,227.82 : x
  2. Step 2: Convert to fraction form
    8,085.42/11,160.99 = 6,227.82/x
  3. Step 3: Cross multiply
    8,085.42x = 11,160.99 × 6,227.82
  4. Step 4: Simplify right side
    8,085.42x = 69,508,636.74
  5. Step 5: Solve for x
    x = 69,508,636.74/8,085.42
  6. Step 6: Final answer
    x = 8,596.79

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