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Finding the Fourth Proportional to 11,794.71, 17,692.12 and 5,220.96

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Solution

The fourth proportional to 11,794.71, 17,692.12 and 5,220.96 is: 7,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.71 : 17,692.12 = 5,220.96 : x
  2. Step 2: Convert to fraction form
    11,794.71/17,692.12 = 5,220.96/x
  3. Step 3: Cross multiply
    11,794.71x = 17,692.12 × 5,220.96
  4. Step 4: Simplify right side
    11,794.71x = 92,369,791.02
  5. Step 5: Solve for x
    x = 92,369,791.02/11,794.71
  6. Step 6: Final answer
    x = 7,831.46

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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.