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Finding the Fourth Proportional to 27,685.26, 41,535 and 7,965.36

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Solution

The fourth proportional to 27,685.26, 41,535 and 7,965.36 is: 11,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.26 : 41,535 = 7,965.36 : x
  2. Step 2: Convert to fraction form
    27,685.26/41,535 = 7,965.36/x
  3. Step 3: Cross multiply
    27,685.26x = 41,535 × 7,965.36
  4. Step 4: Simplify right side
    27,685.26x = 330,841,227.60
  5. Step 5: Solve for x
    x = 330,841,227.60/27,685.26
  6. Step 6: Final answer
    x = 11,950.09

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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.