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Finding the Fourth Proportional to 7,211.50, 10,817.26 and 3,107.50

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Solution

The fourth proportional to 7,211.50, 10,817.26 and 3,107.50 is: 4,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.50 : 10,817.26 = 3,107.50 : x
  2. Step 2: Convert to fraction form
    7,211.50/10,817.26 = 3,107.50/x
  3. Step 3: Cross multiply
    7,211.50x = 10,817.26 × 3,107.50
  4. Step 4: Simplify right side
    7,211.50x = 33,614,635.45
  5. Step 5: Solve for x
    x = 33,614,635.45/7,211.50
  6. Step 6: Final answer
    x = 4,661.25

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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.