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Finding the Fourth Proportional to 11,759.42, 17,643.72 and 5,180.97

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Solution

The fourth proportional to 11,759.42, 17,643.72 and 5,180.97 is: 7,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.42 : 17,643.72 = 5,180.97 : x
  2. Step 2: Convert to fraction form
    11,759.42/17,643.72 = 5,180.97/x
  3. Step 3: Cross multiply
    11,759.42x = 17,643.72 × 5,180.97
  4. Step 4: Simplify right side
    11,759.42x = 91,411,669.60
  5. Step 5: Solve for x
    x = 91,411,669.60/11,759.42
  6. Step 6: Final answer
    x = 7,773.48

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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.