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Finding the Fourth Proportional to 11,466.84, 17,198.42 and 3,144.93

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Solution

The fourth proportional to 11,466.84, 17,198.42 and 3,144.93 is: 4,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.84 : 17,198.42 = 3,144.93 : x
  2. Step 2: Convert to fraction form
    11,466.84/17,198.42 = 3,144.93/x
  3. Step 3: Cross multiply
    11,466.84x = 17,198.42 × 3,144.93
  4. Step 4: Simplify right side
    11,466.84x = 54,087,811.29
  5. Step 5: Solve for x
    x = 54,087,811.29/11,466.84
  6. Step 6: Final answer
    x = 4,716.89

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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.