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Finding the Fourth Proportional to 10,299.66, 15,449.49 and 3,279.80

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Solution

The fourth proportional to 10,299.66, 15,449.49 and 3,279.80 is: 4,919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.66 : 15,449.49 = 3,279.80 : x
  2. Step 2: Convert to fraction form
    10,299.66/15,449.49 = 3,279.80/x
  3. Step 3: Cross multiply
    10,299.66x = 15,449.49 × 3,279.80
  4. Step 4: Simplify right side
    10,299.66x = 50,671,160.05
  5. Step 5: Solve for x
    x = 50,671,160.05/10,299.66
  6. Step 6: Final answer
    x = 4,919.69

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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.