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Finding the Fourth Proportional to 11,650.32, 17,448.48 and 5,788.08

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Solution

The fourth proportional to 11,650.32, 17,448.48 and 5,788.08 is: 8,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.32 : 17,448.48 = 5,788.08 : x
  2. Step 2: Convert to fraction form
    11,650.32/17,448.48 = 5,788.08/x
  3. Step 3: Cross multiply
    11,650.32x = 17,448.48 × 5,788.08
  4. Step 4: Simplify right side
    11,650.32x = 100,993,198.12
  5. Step 5: Solve for x
    x = 100,993,198.12/11,650.32
  6. Step 6: Final answer
    x = 8,668.71

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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.