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Finding the Fourth Proportional to 10,692.80, 16,041.49 and 3,196.94

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Solution

The fourth proportional to 10,692.80, 16,041.49 and 3,196.94 is: 4,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.80 : 16,041.49 = 3,196.94 : x
  2. Step 2: Convert to fraction form
    10,692.80/16,041.49 = 3,196.94/x
  3. Step 3: Cross multiply
    10,692.80x = 16,041.49 × 3,196.94
  4. Step 4: Simplify right side
    10,692.80x = 51,283,732.69
  5. Step 5: Solve for x
    x = 51,283,732.69/10,692.80
  6. Step 6: Final answer
    x = 4,796.10

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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.