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Finding the Fourth Proportional to 11,291.27, 16,938.02 and 3,894.75

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Solution

The fourth proportional to 11,291.27, 16,938.02 and 3,894.75 is: 5,842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.27 : 16,938.02 = 3,894.75 : x
  2. Step 2: Convert to fraction form
    11,291.27/16,938.02 = 3,894.75/x
  3. Step 3: Cross multiply
    11,291.27x = 16,938.02 × 3,894.75
  4. Step 4: Simplify right side
    11,291.27x = 65,969,353.40
  5. Step 5: Solve for x
    x = 65,969,353.40/11,291.27
  6. Step 6: Final answer
    x = 5,842.51

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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.