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Finding the Fourth Proportional to 6,744.34, 10,116.54 and 3,044.56

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Solution

The fourth proportional to 6,744.34, 10,116.54 and 3,044.56 is: 4,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.34 : 10,116.54 = 3,044.56 : x
  2. Step 2: Convert to fraction form
    6,744.34/10,116.54 = 3,044.56/x
  3. Step 3: Cross multiply
    6,744.34x = 10,116.54 × 3,044.56
  4. Step 4: Simplify right side
    6,744.34x = 30,800,413.02
  5. Step 5: Solve for x
    x = 30,800,413.02/6,744.34
  6. Step 6: Final answer
    x = 4,566.85

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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.