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Finding the Fourth Proportional to 11,486.96, 17,230.54 and 3,167.44

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Solution

The fourth proportional to 11,486.96, 17,230.54 and 3,167.44 is: 4,751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.96 : 17,230.54 = 3,167.44 : x
  2. Step 2: Convert to fraction form
    11,486.96/17,230.54 = 3,167.44/x
  3. Step 3: Cross multiply
    11,486.96x = 17,230.54 × 3,167.44
  4. Step 4: Simplify right side
    11,486.96x = 54,576,701.62
  5. Step 5: Solve for x
    x = 54,576,701.62/11,486.96
  6. Step 6: Final answer
    x = 4,751.19

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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.