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Finding the Fourth Proportional to 27,862.67, 41,793.49 and 6,802.37

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Solution

The fourth proportional to 27,862.67, 41,793.49 and 6,802.37 is: 10,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862.67 : 41,793.49 = 6,802.37 : x
  2. Step 2: Convert to fraction form
    27,862.67/41,793.49 = 6,802.37/x
  3. Step 3: Cross multiply
    27,862.67x = 41,793.49 × 6,802.37
  4. Step 4: Simplify right side
    27,862.67x = 284,294,782.57
  5. Step 5: Solve for x
    x = 284,294,782.57/27,862.67
  6. Step 6: Final answer
    x = 10,203.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.