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Finding the Fourth Proportional to 11,794.40, 17,692.51 and 4,771.09

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Solution

The fourth proportional to 11,794.40, 17,692.51 and 4,771.09 is: 7,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.40 : 17,692.51 = 4,771.09 : x
  2. Step 2: Convert to fraction form
    11,794.40/17,692.51 = 4,771.09/x
  3. Step 3: Cross multiply
    11,794.40x = 17,692.51 × 4,771.09
  4. Step 4: Simplify right side
    11,794.40x = 84,412,557.54
  5. Step 5: Solve for x
    x = 84,412,557.54/11,794.40
  6. Step 6: Final answer
    x = 7,157.00

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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.