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Finding the Fourth Proportional to 7,292.27, 10,938.28 and 2,361.92

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Solution

The fourth proportional to 7,292.27, 10,938.28 and 2,361.92 is: 3,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.27 : 10,938.28 = 2,361.92 : x
  2. Step 2: Convert to fraction form
    7,292.27/10,938.28 = 2,361.92/x
  3. Step 3: Cross multiply
    7,292.27x = 10,938.28 × 2,361.92
  4. Step 4: Simplify right side
    7,292.27x = 25,835,372.60
  5. Step 5: Solve for x
    x = 25,835,372.60/7,292.27
  6. Step 6: Final answer
    x = 3,542.84

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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.