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Finding the Fourth Proportional to 10,200.04, 15,299.52 and 3,274

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Solution

The fourth proportional to 10,200.04, 15,299.52 and 3,274 is: 4,910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.04 : 15,299.52 = 3,274 : x
  2. Step 2: Convert to fraction form
    10,200.04/15,299.52 = 3,274/x
  3. Step 3: Cross multiply
    10,200.04x = 15,299.52 × 3,274
  4. Step 4: Simplify right side
    10,200.04x = 50,090,628.48
  5. Step 5: Solve for x
    x = 50,090,628.48/10,200.04
  6. Step 6: Final answer
    x = 4,910.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.