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Finding the Fourth Proportional to 6,738.80, 10,108.20 and 6,034.10

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Solution

The fourth proportional to 6,738.80, 10,108.20 and 6,034.10 is: 9,051.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.80 : 10,108.20 = 6,034.10 : x
  2. Step 2: Convert to fraction form
    6,738.80/10,108.20 = 6,034.10/x
  3. Step 3: Cross multiply
    6,738.80x = 10,108.20 × 6,034.10
  4. Step 4: Simplify right side
    6,738.80x = 60,993,889.62
  5. Step 5: Solve for x
    x = 60,993,889.62/6,738.80
  6. Step 6: Final answer
    x = 9,051.15

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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.