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Finding the Fourth Proportional to 11,467.86, 17,201.46 and 4,807.92

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Solution

The fourth proportional to 11,467.86, 17,201.46 and 4,807.92 is: 7,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.86 : 17,201.46 = 4,807.92 : x
  2. Step 2: Convert to fraction form
    11,467.86/17,201.46 = 4,807.92/x
  3. Step 3: Cross multiply
    11,467.86x = 17,201.46 × 4,807.92
  4. Step 4: Simplify right side
    11,467.86x = 82,703,243.56
  5. Step 5: Solve for x
    x = 82,703,243.56/11,467.86
  6. Step 6: Final answer
    x = 7,211.74

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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.