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Finding the Fourth Proportional to 8,343.87, 12,519.30 and 3,661.47

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Solution

The fourth proportional to 8,343.87, 12,519.30 and 3,661.47 is: 5,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.87 : 12,519.30 = 3,661.47 : x
  2. Step 2: Convert to fraction form
    8,343.87/12,519.30 = 3,661.47/x
  3. Step 3: Cross multiply
    8,343.87x = 12,519.30 × 3,661.47
  4. Step 4: Simplify right side
    8,343.87x = 45,839,041.37
  5. Step 5: Solve for x
    x = 45,839,041.37/8,343.87
  6. Step 6: Final answer
    x = 5,493.74

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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.