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Finding the Fourth Proportional to 6,956.24, 10,436.88 and 3,669.44

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Solution

The fourth proportional to 6,956.24, 10,436.88 and 3,669.44 is: 5,505.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.24 : 10,436.88 = 3,669.44 : x
  2. Step 2: Convert to fraction form
    6,956.24/10,436.88 = 3,669.44/x
  3. Step 3: Cross multiply
    6,956.24x = 10,436.88 × 3,669.44
  4. Step 4: Simplify right side
    6,956.24x = 38,297,504.95
  5. Step 5: Solve for x
    x = 38,297,504.95/6,956.24
  6. Step 6: Final answer
    x = 5,505.49

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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.