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Finding the Fourth Proportional to 7,292.26, 10,939.74 and 2,361.40

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Solution

The fourth proportional to 7,292.26, 10,939.74 and 2,361.40 is: 3,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.26 : 10,939.74 = 2,361.40 : x
  2. Step 2: Convert to fraction form
    7,292.26/10,939.74 = 2,361.40/x
  3. Step 3: Cross multiply
    7,292.26x = 10,939.74 × 2,361.40
  4. Step 4: Simplify right side
    7,292.26x = 25,833,102.04
  5. Step 5: Solve for x
    x = 25,833,102.04/7,292.26
  6. Step 6: Final answer
    x = 3,542.54

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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.