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Finding the Fourth Proportional to 8,764, 13,145.25 and 3,217.12

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Solution

The fourth proportional to 8,764, 13,145.25 and 3,217.12 is: 4,825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764 : 13,145.25 = 3,217.12 : x
  2. Step 2: Convert to fraction form
    8,764/13,145.25 = 3,217.12/x
  3. Step 3: Cross multiply
    8,764x = 13,145.25 × 3,217.12
  4. Step 4: Simplify right side
    8,764x = 42,289,846.68
  5. Step 5: Solve for x
    x = 42,289,846.68/8,764
  6. Step 6: Final answer
    x = 4,825.40

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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.