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Finding the Fourth Proportional to 8,305.67, 11,464.89 and 5,119.49

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Solution

The fourth proportional to 8,305.67, 11,464.89 and 5,119.49 is: 7,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.67 : 11,464.89 = 5,119.49 : x
  2. Step 2: Convert to fraction form
    8,305.67/11,464.89 = 5,119.49/x
  3. Step 3: Cross multiply
    8,305.67x = 11,464.89 × 5,119.49
  4. Step 4: Simplify right side
    8,305.67x = 58,694,389.71
  5. Step 5: Solve for x
    x = 58,694,389.71/8,305.67
  6. Step 6: Final answer
    x = 7,066.79

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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.