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Finding the Fourth Proportional to 10,594.43, 15,891.74 and 3,198.95

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Solution

The fourth proportional to 10,594.43, 15,891.74 and 3,198.95 is: 4,798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.43 : 15,891.74 = 3,198.95 : x
  2. Step 2: Convert to fraction form
    10,594.43/15,891.74 = 3,198.95/x
  3. Step 3: Cross multiply
    10,594.43x = 15,891.74 × 3,198.95
  4. Step 4: Simplify right side
    10,594.43x = 50,836,786.22
  5. Step 5: Solve for x
    x = 50,836,786.22/10,594.43
  6. Step 6: Final answer
    x = 4,798.45

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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.