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Finding the Fourth Proportional to 8,183.80, 11,293.34 and 5,002.42

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Solution

The fourth proportional to 8,183.80, 11,293.34 and 5,002.42 is: 6,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.80 : 11,293.34 = 5,002.42 : x
  2. Step 2: Convert to fraction form
    8,183.80/11,293.34 = 5,002.42/x
  3. Step 3: Cross multiply
    8,183.80x = 11,293.34 × 5,002.42
  4. Step 4: Simplify right side
    8,183.80x = 56,494,070.62
  5. Step 5: Solve for x
    x = 56,494,070.62/8,183.80
  6. Step 6: Final answer
    x = 6,903.16

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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.