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Finding the Fourth Proportional to 7,292.75, 10,936.82 and 2,361.24

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Solution

The fourth proportional to 7,292.75, 10,936.82 and 2,361.24 is: 3,541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.75 : 10,936.82 = 2,361.24 : x
  2. Step 2: Convert to fraction form
    7,292.75/10,936.82 = 2,361.24/x
  3. Step 3: Cross multiply
    7,292.75x = 10,936.82 × 2,361.24
  4. Step 4: Simplify right side
    7,292.75x = 25,824,462.76
  5. Step 5: Solve for x
    x = 25,824,462.76/7,292.75
  6. Step 6: Final answer
    x = 3,541.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.