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Finding the Fourth Proportional to 10,594.36, 15,891.65 and 3,198.88

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Solution

The fourth proportional to 10,594.36, 15,891.65 and 3,198.88 is: 4,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.36 : 15,891.65 = 3,198.88 : x
  2. Step 2: Convert to fraction form
    10,594.36/15,891.65 = 3,198.88/x
  3. Step 3: Cross multiply
    10,594.36x = 15,891.65 × 3,198.88
  4. Step 4: Simplify right side
    10,594.36x = 50,835,481.35
  5. Step 5: Solve for x
    x = 50,835,481.35/10,594.36
  6. Step 6: Final answer
    x = 4,798.35

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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.