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Finding the Fourth Proportional to 8,128.53, 11,217.78 and 4,771.49

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Solution

The fourth proportional to 8,128.53, 11,217.78 and 4,771.49 is: 6,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.53 : 11,217.78 = 4,771.49 : x
  2. Step 2: Convert to fraction form
    8,128.53/11,217.78 = 4,771.49/x
  3. Step 3: Cross multiply
    8,128.53x = 11,217.78 × 4,771.49
  4. Step 4: Simplify right side
    8,128.53x = 53,525,525.09
  5. Step 5: Solve for x
    x = 53,525,525.09/8,128.53
  6. Step 6: Final answer
    x = 6,584.90

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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.