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Finding the Fourth Proportional to 7,232.50, 10,850.36 and 3,072.64

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Solution

The fourth proportional to 7,232.50, 10,850.36 and 3,072.64 is: 4,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.50 : 10,850.36 = 3,072.64 : x
  2. Step 2: Convert to fraction form
    7,232.50/10,850.36 = 3,072.64/x
  3. Step 3: Cross multiply
    7,232.50x = 10,850.36 × 3,072.64
  4. Step 4: Simplify right side
    7,232.50x = 33,339,250.15
  5. Step 5: Solve for x
    x = 33,339,250.15/7,232.50
  6. Step 6: Final answer
    x = 4,609.64

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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.