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Finding the Fourth Proportional to 8,522.36, 12,785.57 and 2,678.97

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Solution

The fourth proportional to 8,522.36, 12,785.57 and 2,678.97 is: 4,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.36 : 12,785.57 = 2,678.97 : x
  2. Step 2: Convert to fraction form
    8,522.36/12,785.57 = 2,678.97/x
  3. Step 3: Cross multiply
    8,522.36x = 12,785.57 × 2,678.97
  4. Step 4: Simplify right side
    8,522.36x = 34,252,158.46
  5. Step 5: Solve for x
    x = 34,252,158.46/8,522.36
  6. Step 6: Final answer
    x = 4,019.09

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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.