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Finding the Fourth Proportional to 11,873.21, 17,799.23 and 5,629.32

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Solution

The fourth proportional to 11,873.21, 17,799.23 and 5,629.32 is: 8,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.21 : 17,799.23 = 5,629.32 : x
  2. Step 2: Convert to fraction form
    11,873.21/17,799.23 = 5,629.32/x
  3. Step 3: Cross multiply
    11,873.21x = 17,799.23 × 5,629.32
  4. Step 4: Simplify right side
    11,873.21x = 100,197,575.50
  5. Step 5: Solve for x
    x = 100,197,575.50/11,873.21
  6. Step 6: Final answer
    x = 8,438.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.