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Finding the Fourth Proportional to 11,735.42, 16,194.40 and 7,022.30

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Solution

The fourth proportional to 11,735.42, 16,194.40 and 7,022.30 is: 9,690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.42 : 16,194.40 = 7,022.30 : x
  2. Step 2: Convert to fraction form
    11,735.42/16,194.40 = 7,022.30/x
  3. Step 3: Cross multiply
    11,735.42x = 16,194.40 × 7,022.30
  4. Step 4: Simplify right side
    11,735.42x = 113,721,836.59
  5. Step 5: Solve for x
    x = 113,721,836.59/11,735.42
  6. Step 6: Final answer
    x = 9,690.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.