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Finding the Fourth Proportional to 8,222.83, 12,325.74 and 3,836.68

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Solution

The fourth proportional to 8,222.83, 12,325.74 and 3,836.68 is: 5,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.83 : 12,325.74 = 3,836.68 : x
  2. Step 2: Convert to fraction form
    8,222.83/12,325.74 = 3,836.68/x
  3. Step 3: Cross multiply
    8,222.83x = 12,325.74 × 3,836.68
  4. Step 4: Simplify right side
    8,222.83x = 47,289,920.14
  5. Step 5: Solve for x
    x = 47,289,920.14/8,222.83
  6. Step 6: Final answer
    x = 5,751.05

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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.