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Finding the Fourth Proportional to 7,266.38, 10,027.60 and 3,954.38

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Solution

The fourth proportional to 7,266.38, 10,027.60 and 3,954.38 is: 5,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.38 : 10,027.60 = 3,954.38 : x
  2. Step 2: Convert to fraction form
    7,266.38/10,027.60 = 3,954.38/x
  3. Step 3: Cross multiply
    7,266.38x = 10,027.60 × 3,954.38
  4. Step 4: Simplify right side
    7,266.38x = 39,652,940.89
  5. Step 5: Solve for x
    x = 39,652,940.89/7,266.38
  6. Step 6: Final answer
    x = 5,457.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.