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Finding the Fourth Proportional to 10,198.35, 15,299.90 and 3,178.00

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Solution

The fourth proportional to 10,198.35, 15,299.90 and 3,178.00 is: 4,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.35 : 15,299.90 = 3,178.00 : x
  2. Step 2: Convert to fraction form
    10,198.35/15,299.90 = 3,178.00/x
  3. Step 3: Cross multiply
    10,198.35x = 15,299.90 × 3,178.00
  4. Step 4: Simplify right side
    10,198.35x = 48,622,989.81
  5. Step 5: Solve for x
    x = 48,622,989.81/10,198.35
  6. Step 6: Final answer
    x = 4,767.73

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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.