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Finding the Fourth Proportional to 11,579.27, 17,365.28 and 4,182.75

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Solution

The fourth proportional to 11,579.27, 17,365.28 and 4,182.75 is: 6,272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,579.27 : 17,365.28 = 4,182.75 : x
  2. Step 2: Convert to fraction form
    11,579.27/17,365.28 = 4,182.75/x
  3. Step 3: Cross multiply
    11,579.27x = 17,365.28 × 4,182.75
  4. Step 4: Simplify right side
    11,579.27x = 72,634,604.01
  5. Step 5: Solve for x
    x = 72,634,604.01/11,579.27
  6. Step 6: Final answer
    x = 6,272.82

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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.