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Finding the Fourth Proportional to 10,213.22, 15,321.15 and 3,641.30

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Solution

The fourth proportional to 10,213.22, 15,321.15 and 3,641.30 is: 5,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.22 : 15,321.15 = 3,641.30 : x
  2. Step 2: Convert to fraction form
    10,213.22/15,321.15 = 3,641.30/x
  3. Step 3: Cross multiply
    10,213.22x = 15,321.15 × 3,641.30
  4. Step 4: Simplify right side
    10,213.22x = 55,788,903.50
  5. Step 5: Solve for x
    x = 55,788,903.50/10,213.22
  6. Step 6: Final answer
    x = 5,462.42

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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.