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Finding the Fourth Proportional to 8,213.77, 12,320.64 and 3,284.56

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Solution

The fourth proportional to 8,213.77, 12,320.64 and 3,284.56 is: 4,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.77 : 12,320.64 = 3,284.56 : x
  2. Step 2: Convert to fraction form
    8,213.77/12,320.64 = 3,284.56/x
  3. Step 3: Cross multiply
    8,213.77x = 12,320.64 × 3,284.56
  4. Step 4: Simplify right side
    8,213.77x = 40,467,896.72
  5. Step 5: Solve for x
    x = 40,467,896.72/8,213.77
  6. Step 6: Final answer
    x = 4,926.84

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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.