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Finding the Fourth Proportional to 7,069.72, 10,584.42 and 5,611

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Solution

The fourth proportional to 7,069.72, 10,584.42 and 5,611 is: 8,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.72 : 10,584.42 = 5,611 : x
  2. Step 2: Convert to fraction form
    7,069.72/10,584.42 = 5,611/x
  3. Step 3: Cross multiply
    7,069.72x = 10,584.42 × 5,611
  4. Step 4: Simplify right side
    7,069.72x = 59,389,180.62
  5. Step 5: Solve for x
    x = 59,389,180.62/7,069.72
  6. Step 6: Final answer
    x = 8,400.50

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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.