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Finding the Fourth Proportional to 10,609.22, 15,907.62 and 3,211.50

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Solution

The fourth proportional to 10,609.22, 15,907.62 and 3,211.50 is: 4,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.22 : 15,907.62 = 3,211.50 : x
  2. Step 2: Convert to fraction form
    10,609.22/15,907.62 = 3,211.50/x
  3. Step 3: Cross multiply
    10,609.22x = 15,907.62 × 3,211.50
  4. Step 4: Simplify right side
    10,609.22x = 51,087,321.63
  5. Step 5: Solve for x
    x = 51,087,321.63/10,609.22
  6. Step 6: Final answer
    x = 4,815.37

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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.