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Finding the Fourth Proportional to 7,084.62, 10,626.81 and 2,467.50

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Solution

The fourth proportional to 7,084.62, 10,626.81 and 2,467.50 is: 3,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.62 : 10,626.81 = 2,467.50 : x
  2. Step 2: Convert to fraction form
    7,084.62/10,626.81 = 2,467.50/x
  3. Step 3: Cross multiply
    7,084.62x = 10,626.81 × 2,467.50
  4. Step 4: Simplify right side
    7,084.62x = 26,221,653.68
  5. Step 5: Solve for x
    x = 26,221,653.68/7,084.62
  6. Step 6: Final answer
    x = 3,701.21

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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.