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Finding the Fourth Proportional to 6,767.90, 9,346.83 and 5,180.30

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Solution

The fourth proportional to 6,767.90, 9,346.83 and 5,180.30 is: 7,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.90 : 9,346.83 = 5,180.30 : x
  2. Step 2: Convert to fraction form
    6,767.90/9,346.83 = 5,180.30/x
  3. Step 3: Cross multiply
    6,767.90x = 9,346.83 × 5,180.30
  4. Step 4: Simplify right side
    6,767.90x = 48,419,383.45
  5. Step 5: Solve for x
    x = 48,419,383.45/6,767.90
  6. Step 6: Final answer
    x = 7,154.27

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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.