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Finding the Fourth Proportional to 8,136.14, 12,204.20 and 2,291.99

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Solution

The fourth proportional to 8,136.14, 12,204.20 and 2,291.99 is: 3,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.14 : 12,204.20 = 2,291.99 : x
  2. Step 2: Convert to fraction form
    8,136.14/12,204.20 = 2,291.99/x
  3. Step 3: Cross multiply
    8,136.14x = 12,204.20 × 2,291.99
  4. Step 4: Simplify right side
    8,136.14x = 27,971,831.88
  5. Step 5: Solve for x
    x = 27,971,831.88/8,136.14
  6. Step 6: Final answer
    x = 3,437.98

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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.