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Finding the Fourth Proportional to 10,907.82, 16,340.30 and 7,198.74

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Solution

The fourth proportional to 10,907.82, 16,340.30 and 7,198.74 is: 10,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.82 : 16,340.30 = 7,198.74 : x
  2. Step 2: Convert to fraction form
    10,907.82/16,340.30 = 7,198.74/x
  3. Step 3: Cross multiply
    10,907.82x = 16,340.30 × 7,198.74
  4. Step 4: Simplify right side
    10,907.82x = 117,629,571.22
  5. Step 5: Solve for x
    x = 117,629,571.22/10,907.82
  6. Step 6: Final answer
    x = 10,783.97

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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.