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Finding the Fourth Proportional to 7,435.26, 11,152.62 and 2,241

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Solution

The fourth proportional to 7,435.26, 11,152.62 and 2,241 is: 3,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.26 : 11,152.62 = 2,241 : x
  2. Step 2: Convert to fraction form
    7,435.26/11,152.62 = 2,241/x
  3. Step 3: Cross multiply
    7,435.26x = 11,152.62 × 2,241
  4. Step 4: Simplify right side
    7,435.26x = 24,993,021.42
  5. Step 5: Solve for x
    x = 24,993,021.42/7,435.26
  6. Step 6: Final answer
    x = 3,361.42

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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.