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Finding the Fourth Proportional to 11,233, 16,849.50 and 3,441.76

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Solution

The fourth proportional to 11,233, 16,849.50 and 3,441.76 is: 5,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,233 : 16,849.50 = 3,441.76 : x
  2. Step 2: Convert to fraction form
    11,233/16,849.50 = 3,441.76/x
  3. Step 3: Cross multiply
    11,233x = 16,849.50 × 3,441.76
  4. Step 4: Simplify right side
    11,233x = 57,991,935.12
  5. Step 5: Solve for x
    x = 57,991,935.12/11,233
  6. Step 6: Final answer
    x = 5,162.64

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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.