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Finding the Fourth Proportional to 11,544.96, 17,314.97 and 3,648.09

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Solution

The fourth proportional to 11,544.96, 17,314.97 and 3,648.09 is: 5,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.96 : 17,314.97 = 3,648.09 : x
  2. Step 2: Convert to fraction form
    11,544.96/17,314.97 = 3,648.09/x
  3. Step 3: Cross multiply
    11,544.96x = 17,314.97 × 3,648.09
  4. Step 4: Simplify right side
    11,544.96x = 63,166,550.67
  5. Step 5: Solve for x
    x = 63,166,550.67/11,544.96
  6. Step 6: Final answer
    x = 5,471.35

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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.