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Finding the Fourth Proportional to 27,864.99, 41,796.41 and 7,089.03

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Solution

The fourth proportional to 27,864.99, 41,796.41 and 7,089.03 is: 10,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864.99 : 41,796.41 = 7,089.03 : x
  2. Step 2: Convert to fraction form
    27,864.99/41,796.41 = 7,089.03/x
  3. Step 3: Cross multiply
    27,864.99x = 41,796.41 × 7,089.03
  4. Step 4: Simplify right side
    27,864.99x = 296,295,968.94
  5. Step 5: Solve for x
    x = 296,295,968.94/27,864.99
  6. Step 6: Final answer
    x = 10,633.27

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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.