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Finding the Fourth Proportional to 8,144.28, 12,207.86 and 5,184.99

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Solution

The fourth proportional to 8,144.28, 12,207.86 and 5,184.99 is: 7,772.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.28 : 12,207.86 = 5,184.99 : x
  2. Step 2: Convert to fraction form
    8,144.28/12,207.86 = 5,184.99/x
  3. Step 3: Cross multiply
    8,144.28x = 12,207.86 × 5,184.99
  4. Step 4: Simplify right side
    8,144.28x = 63,297,606.10
  5. Step 5: Solve for x
    x = 63,297,606.10/8,144.28
  6. Step 6: Final answer
    x = 7,772.03

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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.