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Finding the Fourth Proportional to 6,789.80, 10,185.24 and 3,092.16

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Solution

The fourth proportional to 6,789.80, 10,185.24 and 3,092.16 is: 4,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.80 : 10,185.24 = 3,092.16 : x
  2. Step 2: Convert to fraction form
    6,789.80/10,185.24 = 3,092.16/x
  3. Step 3: Cross multiply
    6,789.80x = 10,185.24 × 3,092.16
  4. Step 4: Simplify right side
    6,789.80x = 31,494,391.72
  5. Step 5: Solve for x
    x = 31,494,391.72/6,789.80
  6. Step 6: Final answer
    x = 4,638.49

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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.