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Finding the Fourth Proportional to 7,270.46, 10,906.09 and 2,339.74

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Solution

The fourth proportional to 7,270.46, 10,906.09 and 2,339.74 is: 3,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.46 : 10,906.09 = 2,339.74 : x
  2. Step 2: Convert to fraction form
    7,270.46/10,906.09 = 2,339.74/x
  3. Step 3: Cross multiply
    7,270.46x = 10,906.09 × 2,339.74
  4. Step 4: Simplify right side
    7,270.46x = 25,517,415.02
  5. Step 5: Solve for x
    x = 25,517,415.02/7,270.46
  6. Step 6: Final answer
    x = 3,509.74

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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.