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Finding the Fourth Proportional to 8,113.15, 11,193.14 and 5,993.78

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Solution

The fourth proportional to 8,113.15, 11,193.14 and 5,993.78 is: 8,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.15 : 11,193.14 = 5,993.78 : x
  2. Step 2: Convert to fraction form
    8,113.15/11,193.14 = 5,993.78/x
  3. Step 3: Cross multiply
    8,113.15x = 11,193.14 × 5,993.78
  4. Step 4: Simplify right side
    8,113.15x = 67,089,261.64
  5. Step 5: Solve for x
    x = 67,089,261.64/8,113.15
  6. Step 6: Final answer
    x = 8,269.20

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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.