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Finding the Fourth Proportional to 10,855.49, 16,272.07 and 4,936.50

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Solution

The fourth proportional to 10,855.49, 16,272.07 and 4,936.50 is: 7,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.49 : 16,272.07 = 4,936.50 : x
  2. Step 2: Convert to fraction form
    10,855.49/16,272.07 = 4,936.50/x
  3. Step 3: Cross multiply
    10,855.49x = 16,272.07 × 4,936.50
  4. Step 4: Simplify right side
    10,855.49x = 80,327,061.21
  5. Step 5: Solve for x
    x = 80,327,061.21/10,855.49
  6. Step 6: Final answer
    x = 7,399.67

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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.