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Finding the Fourth Proportional to 8,136.64, 12,203.86 and 2,293.70

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Solution

The fourth proportional to 8,136.64, 12,203.86 and 2,293.70 is: 3,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.64 : 12,203.86 = 2,293.70 : x
  2. Step 2: Convert to fraction form
    8,136.64/12,203.86 = 2,293.70/x
  3. Step 3: Cross multiply
    8,136.64x = 12,203.86 × 2,293.70
  4. Step 4: Simplify right side
    8,136.64x = 27,991,993.68
  5. Step 5: Solve for x
    x = 27,991,993.68/8,136.64
  6. Step 6: Final answer
    x = 3,440.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.