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Finding the Fourth Proportional to 8,530.74, 12,797.73 and 3,850.83

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Solution

The fourth proportional to 8,530.74, 12,797.73 and 3,850.83 is: 5,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.74 : 12,797.73 = 3,850.83 : x
  2. Step 2: Convert to fraction form
    8,530.74/12,797.73 = 3,850.83/x
  3. Step 3: Cross multiply
    8,530.74x = 12,797.73 × 3,850.83
  4. Step 4: Simplify right side
    8,530.74x = 49,281,882.62
  5. Step 5: Solve for x
    x = 49,281,882.62/8,530.74
  6. Step 6: Final answer
    x = 5,776.98

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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.