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Finding the Fourth Proportional to 8,114.43, 11,201.67 and 4,756.80

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Solution

The fourth proportional to 8,114.43, 11,201.67 and 4,756.80 is: 6,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.43 : 11,201.67 = 4,756.80 : x
  2. Step 2: Convert to fraction form
    8,114.43/11,201.67 = 4,756.80/x
  3. Step 3: Cross multiply
    8,114.43x = 11,201.67 × 4,756.80
  4. Step 4: Simplify right side
    8,114.43x = 53,284,103.86
  5. Step 5: Solve for x
    x = 53,284,103.86/8,114.43
  6. Step 6: Final answer
    x = 6,566.59

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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.