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Finding the Fourth Proportional to 8,389.44, 12,584.12 and 2,546.06

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Solution

The fourth proportional to 8,389.44, 12,584.12 and 2,546.06 is: 3,819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.44 : 12,584.12 = 2,546.06 : x
  2. Step 2: Convert to fraction form
    8,389.44/12,584.12 = 2,546.06/x
  3. Step 3: Cross multiply
    8,389.44x = 12,584.12 × 2,546.06
  4. Step 4: Simplify right side
    8,389.44x = 32,039,848.92
  5. Step 5: Solve for x
    x = 32,039,848.92/8,389.44
  6. Step 6: Final answer
    x = 3,819.07

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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.