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Finding the Fourth Proportional to 11,699.44, 17,538.73 and 4,302.11

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Solution

The fourth proportional to 11,699.44, 17,538.73 and 4,302.11 is: 6,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.44 : 17,538.73 = 4,302.11 : x
  2. Step 2: Convert to fraction form
    11,699.44/17,538.73 = 4,302.11/x
  3. Step 3: Cross multiply
    11,699.44x = 17,538.73 × 4,302.11
  4. Step 4: Simplify right side
    11,699.44x = 75,453,578.81
  5. Step 5: Solve for x
    x = 75,453,578.81/11,699.44
  6. Step 6: Final answer
    x = 6,449.33

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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.