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Finding the Fourth Proportional to 8,229.96, 11,360.03 and 5,679.07

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Solution

The fourth proportional to 8,229.96, 11,360.03 and 5,679.07 is: 7,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.96 : 11,360.03 = 5,679.07 : x
  2. Step 2: Convert to fraction form
    8,229.96/11,360.03 = 5,679.07/x
  3. Step 3: Cross multiply
    8,229.96x = 11,360.03 × 5,679.07
  4. Step 4: Simplify right side
    8,229.96x = 64,514,348.78
  5. Step 5: Solve for x
    x = 64,514,348.78/8,229.96
  6. Step 6: Final answer
    x = 7,838.96

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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.