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Finding the Fourth Proportional to 8,131.34, 11,223.89 and 4,774.07

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Solution

The fourth proportional to 8,131.34, 11,223.89 and 4,774.07 is: 6,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.34 : 11,223.89 = 4,774.07 : x
  2. Step 2: Convert to fraction form
    8,131.34/11,223.89 = 4,774.07/x
  3. Step 3: Cross multiply
    8,131.34x = 11,223.89 × 4,774.07
  4. Step 4: Simplify right side
    8,131.34x = 53,583,556.54
  5. Step 5: Solve for x
    x = 53,583,556.54/8,131.34
  6. Step 6: Final answer
    x = 6,589.76

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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.