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Finding the Fourth Proportional to 11,643.90, 17,464.14 and 3,745.38

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Solution

The fourth proportional to 11,643.90, 17,464.14 and 3,745.38 is: 5,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.90 : 17,464.14 = 3,745.38 : x
  2. Step 2: Convert to fraction form
    11,643.90/17,464.14 = 3,745.38/x
  3. Step 3: Cross multiply
    11,643.90x = 17,464.14 × 3,745.38
  4. Step 4: Simplify right side
    11,643.90x = 65,409,840.67
  5. Step 5: Solve for x
    x = 65,409,840.67/11,643.90
  6. Step 6: Final answer
    x = 5,617.52

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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.