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Finding the Fourth Proportional to 8,229.66, 11,356.62 and 4,692.18

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Solution

The fourth proportional to 8,229.66, 11,356.62 and 4,692.18 is: 6,475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.66 : 11,356.62 = 4,692.18 : x
  2. Step 2: Convert to fraction form
    8,229.66/11,356.62 = 4,692.18/x
  3. Step 3: Cross multiply
    8,229.66x = 11,356.62 × 4,692.18
  4. Step 4: Simplify right side
    8,229.66x = 53,287,305.23
  5. Step 5: Solve for x
    x = 53,287,305.23/8,229.66
  6. Step 6: Final answer
    x = 6,475.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.