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Finding the Fourth Proportional to 11,446.41, 17,158.67 and 3,650.16

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Solution

The fourth proportional to 11,446.41, 17,158.67 and 3,650.16 is: 5,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.41 : 17,158.67 = 3,650.16 : x
  2. Step 2: Convert to fraction form
    11,446.41/17,158.67 = 3,650.16/x
  3. Step 3: Cross multiply
    11,446.41x = 17,158.67 × 3,650.16
  4. Step 4: Simplify right side
    11,446.41x = 62,631,890.89
  5. Step 5: Solve for x
    x = 62,631,890.89/11,446.41
  6. Step 6: Final answer
    x = 5,471.75

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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.