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Finding the Fourth Proportional to 6,781.85, 10,174.34 and 3,085.15

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Solution

The fourth proportional to 6,781.85, 10,174.34 and 3,085.15 is: 4,628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.85 : 10,174.34 = 3,085.15 : x
  2. Step 2: Convert to fraction form
    6,781.85/10,174.34 = 3,085.15/x
  3. Step 3: Cross multiply
    6,781.85x = 10,174.34 × 3,085.15
  4. Step 4: Simplify right side
    6,781.85x = 31,389,365.05
  5. Step 5: Solve for x
    x = 31,389,365.05/6,781.85
  6. Step 6: Final answer
    x = 4,628.44

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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.