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Finding the Fourth Proportional to 10,199.64, 15,299.52 and 3,274.14

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Solution

The fourth proportional to 10,199.64, 15,299.52 and 3,274.14 is: 4,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.64 : 15,299.52 = 3,274.14 : x
  2. Step 2: Convert to fraction form
    10,199.64/15,299.52 = 3,274.14/x
  3. Step 3: Cross multiply
    10,199.64x = 15,299.52 × 3,274.14
  4. Step 4: Simplify right side
    10,199.64x = 50,092,770.41
  5. Step 5: Solve for x
    x = 50,092,770.41/10,199.64
  6. Step 6: Final answer
    x = 4,911.23

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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.