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Finding the Fourth Proportional to 11,676.42, 17,503.46 and 3,879.76

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Solution

The fourth proportional to 11,676.42, 17,503.46 and 3,879.76 is: 5,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.42 : 17,503.46 = 3,879.76 : x
  2. Step 2: Convert to fraction form
    11,676.42/17,503.46 = 3,879.76/x
  3. Step 3: Cross multiply
    11,676.42x = 17,503.46 × 3,879.76
  4. Step 4: Simplify right side
    11,676.42x = 67,909,223.97
  5. Step 5: Solve for x
    x = 67,909,223.97/11,676.42
  6. Step 6: Final answer
    x = 5,815.93

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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.