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Finding the Fourth Proportional to 8,096.15, 11,167.22 and 5,109.47

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Solution

The fourth proportional to 8,096.15, 11,167.22 and 5,109.47 is: 7,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.15 : 11,167.22 = 5,109.47 : x
  2. Step 2: Convert to fraction form
    8,096.15/11,167.22 = 5,109.47/x
  3. Step 3: Cross multiply
    8,096.15x = 11,167.22 × 5,109.47
  4. Step 4: Simplify right side
    8,096.15x = 57,058,494.19
  5. Step 5: Solve for x
    x = 57,058,494.19/8,096.15
  6. Step 6: Final answer
    x = 7,047.61

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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.