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Finding the Fourth Proportional to 11,227.63, 16,842.98 and 3,830.10

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Solution

The fourth proportional to 11,227.63, 16,842.98 and 3,830.10 is: 5,745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.63 : 16,842.98 = 3,830.10 : x
  2. Step 2: Convert to fraction form
    11,227.63/16,842.98 = 3,830.10/x
  3. Step 3: Cross multiply
    11,227.63x = 16,842.98 × 3,830.10
  4. Step 4: Simplify right side
    11,227.63x = 64,510,240.87
  5. Step 5: Solve for x
    x = 64,510,240.87/11,227.63
  6. Step 6: Final answer
    x = 5,745.67

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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.