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Finding the Fourth Proportional to 11,544.93, 17,313.12 and 4,147.38

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Solution

The fourth proportional to 11,544.93, 17,313.12 and 4,147.38 is: 6,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.93 : 17,313.12 = 4,147.38 : x
  2. Step 2: Convert to fraction form
    11,544.93/17,313.12 = 4,147.38/x
  3. Step 3: Cross multiply
    11,544.93x = 17,313.12 × 4,147.38
  4. Step 4: Simplify right side
    11,544.93x = 71,804,087.63
  5. Step 5: Solve for x
    x = 71,804,087.63/11,544.93
  6. Step 6: Final answer
    x = 6,219.53

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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.