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Finding the Fourth Proportional to 8,136.68, 12,204.50 and 2,594.00

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Solution

The fourth proportional to 8,136.68, 12,204.50 and 2,594.00 is: 3,890.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.68 : 12,204.50 = 2,594.00 : x
  2. Step 2: Convert to fraction form
    8,136.68/12,204.50 = 2,594.00/x
  3. Step 3: Cross multiply
    8,136.68x = 12,204.50 × 2,594.00
  4. Step 4: Simplify right side
    8,136.68x = 31,658,399.01
  5. Step 5: Solve for x
    x = 31,658,399.01/8,136.68
  6. Step 6: Final answer
    x = 3,890.83

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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.