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Finding the Fourth Proportional to 8,227.16, 11,341.67 and 5,865.20

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Solution

The fourth proportional to 8,227.16, 11,341.67 and 5,865.20 is: 8,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.16 : 11,341.67 = 5,865.20 : x
  2. Step 2: Convert to fraction form
    8,227.16/11,341.67 = 5,865.20/x
  3. Step 3: Cross multiply
    8,227.16x = 11,341.67 × 5,865.20
  4. Step 4: Simplify right side
    8,227.16x = 66,521,076.85
  5. Step 5: Solve for x
    x = 66,521,076.85/8,227.16
  6. Step 6: Final answer
    x = 8,085.55

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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.