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Finding the Fourth Proportional to 6,744.61, 10,115.29 and 3,456.01

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Solution

The fourth proportional to 6,744.61, 10,115.29 and 3,456.01 is: 5,183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.61 : 10,115.29 = 3,456.01 : x
  2. Step 2: Convert to fraction form
    6,744.61/10,115.29 = 3,456.01/x
  3. Step 3: Cross multiply
    6,744.61x = 10,115.29 × 3,456.01
  4. Step 4: Simplify right side
    6,744.61x = 34,958,543.39
  5. Step 5: Solve for x
    x = 34,958,543.39/6,744.61
  6. Step 6: Final answer
    x = 5,183.18

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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.