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Finding the Fourth Proportional to 6,704.44, 10,054.63 and 2,024.06

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Solution

The fourth proportional to 6,704.44, 10,054.63 and 2,024.06 is: 3,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.44 : 10,054.63 = 2,024.06 : x
  2. Step 2: Convert to fraction form
    6,704.44/10,054.63 = 2,024.06/x
  3. Step 3: Cross multiply
    6,704.44x = 10,054.63 × 2,024.06
  4. Step 4: Simplify right side
    6,704.44x = 20,351,126.65
  5. Step 5: Solve for x
    x = 20,351,126.65/6,704.44
  6. Step 6: Final answer
    x = 3,035.47

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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.