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Finding the Fourth Proportional to 26,004.69, 39,001 and 7,286.04

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Solution

The fourth proportional to 26,004.69, 39,001 and 7,286.04 is: 10,927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,004.69 : 39,001 = 7,286.04 : x
  2. Step 2: Convert to fraction form
    26,004.69/39,001 = 7,286.04/x
  3. Step 3: Cross multiply
    26,004.69x = 39,001 × 7,286.04
  4. Step 4: Simplify right side
    26,004.69x = 284,162,846.04
  5. Step 5: Solve for x
    x = 284,162,846.04/26,004.69
  6. Step 6: Final answer
    x = 10,927.37

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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.