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Finding the Fourth Proportional to 10,299.50, 15,449.10 and 3,279.95

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Solution

The fourth proportional to 10,299.50, 15,449.10 and 3,279.95 is: 4,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.50 : 15,449.10 = 3,279.95 : x
  2. Step 2: Convert to fraction form
    10,299.50/15,449.10 = 3,279.95/x
  3. Step 3: Cross multiply
    10,299.50x = 15,449.10 × 3,279.95
  4. Step 4: Simplify right side
    10,299.50x = 50,672,275.55
  5. Step 5: Solve for x
    x = 50,672,275.55/10,299.50
  6. Step 6: Final answer
    x = 4,919.88

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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.