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Finding the Fourth Proportional to 6,900.19, 10,344.07 and 2,738.14

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Solution

The fourth proportional to 6,900.19, 10,344.07 and 2,738.14 is: 4,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.19 : 10,344.07 = 2,738.14 : x
  2. Step 2: Convert to fraction form
    6,900.19/10,344.07 = 2,738.14/x
  3. Step 3: Cross multiply
    6,900.19x = 10,344.07 × 2,738.14
  4. Step 4: Simplify right side
    6,900.19x = 28,323,511.83
  5. Step 5: Solve for x
    x = 28,323,511.83/6,900.19
  6. Step 6: Final answer
    x = 4,104.74

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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.