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Finding the Fourth Proportional to 7,291.96, 10,940.04 and 2,361.49

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Solution

The fourth proportional to 7,291.96, 10,940.04 and 2,361.49 is: 3,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.96 : 10,940.04 = 2,361.49 : x
  2. Step 2: Convert to fraction form
    7,291.96/10,940.04 = 2,361.49/x
  3. Step 3: Cross multiply
    7,291.96x = 10,940.04 × 2,361.49
  4. Step 4: Simplify right side
    7,291.96x = 25,834,767.71
  5. Step 5: Solve for x
    x = 25,834,767.71/7,291.96
  6. Step 6: Final answer
    x = 3,542.91

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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.