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Finding the Fourth Proportional to 6,076.80, 9,115.20 and 5,165.55

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Solution

The fourth proportional to 6,076.80, 9,115.20 and 5,165.55 is: 7,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.80 : 9,115.20 = 5,165.55 : x
  2. Step 2: Convert to fraction form
    6,076.80/9,115.20 = 5,165.55/x
  3. Step 3: Cross multiply
    6,076.80x = 9,115.20 × 5,165.55
  4. Step 4: Simplify right side
    6,076.80x = 47,085,021.36
  5. Step 5: Solve for x
    x = 47,085,021.36/6,076.80
  6. Step 6: Final answer
    x = 7,748.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.