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Finding the Fourth Proportional to 7,704.74, 11,557.11 and 3,084.50

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Solution

The fourth proportional to 7,704.74, 11,557.11 and 3,084.50 is: 4,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.74 : 11,557.11 = 3,084.50 : x
  2. Step 2: Convert to fraction form
    7,704.74/11,557.11 = 3,084.50/x
  3. Step 3: Cross multiply
    7,704.74x = 11,557.11 × 3,084.50
  4. Step 4: Simplify right side
    7,704.74x = 35,647,905.80
  5. Step 5: Solve for x
    x = 35,647,905.80/7,704.74
  6. Step 6: Final answer
    x = 4,626.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.