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Finding the Fourth Proportional to 8,311.74, 11,467.26 and 5,484.42

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Solution

The fourth proportional to 8,311.74, 11,467.26 and 5,484.42 is: 7,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.74 : 11,467.26 = 5,484.42 : x
  2. Step 2: Convert to fraction form
    8,311.74/11,467.26 = 5,484.42/x
  3. Step 3: Cross multiply
    8,311.74x = 11,467.26 × 5,484.42
  4. Step 4: Simplify right side
    8,311.74x = 62,891,270.09
  5. Step 5: Solve for x
    x = 62,891,270.09/8,311.74
  6. Step 6: Final answer
    x = 7,566.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.