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Finding the Fourth Proportional to 10,214.50, 15,321.75 and 2,819.02

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Solution

The fourth proportional to 10,214.50, 15,321.75 and 2,819.02 is: 4,228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.50 : 15,321.75 = 2,819.02 : x
  2. Step 2: Convert to fraction form
    10,214.50/15,321.75 = 2,819.02/x
  3. Step 3: Cross multiply
    10,214.50x = 15,321.75 × 2,819.02
  4. Step 4: Simplify right side
    10,214.50x = 43,192,319.69
  5. Step 5: Solve for x
    x = 43,192,319.69/10,214.50
  6. Step 6: Final answer
    x = 4,228.53

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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.