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Finding the Fourth Proportional to 11,468.26, 17,201.68 and 4,071.74

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Solution

The fourth proportional to 11,468.26, 17,201.68 and 4,071.74 is: 6,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.26 : 17,201.68 = 4,071.74 : x
  2. Step 2: Convert to fraction form
    11,468.26/17,201.68 = 4,071.74/x
  3. Step 3: Cross multiply
    11,468.26x = 17,201.68 × 4,071.74
  4. Step 4: Simplify right side
    11,468.26x = 70,040,768.52
  5. Step 5: Solve for x
    x = 70,040,768.52/11,468.26
  6. Step 6: Final answer
    x = 6,107.36

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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.