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Finding the Fourth Proportional to 8,389.74, 12,584.61 and 3,767.34

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Solution

The fourth proportional to 8,389.74, 12,584.61 and 3,767.34 is: 5,651.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.74 : 12,584.61 = 3,767.34 : x
  2. Step 2: Convert to fraction form
    8,389.74/12,584.61 = 3,767.34/x
  3. Step 3: Cross multiply
    8,389.74x = 12,584.61 × 3,767.34
  4. Step 4: Simplify right side
    8,389.74x = 47,410,504.64
  5. Step 5: Solve for x
    x = 47,410,504.64/8,389.74
  6. Step 6: Final answer
    x = 5,651.01

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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.