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Finding the Fourth Proportional to 8,272.84, 11,418.30 and 5,086.12

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Solution

The fourth proportional to 8,272.84, 11,418.30 and 5,086.12 is: 7,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.84 : 11,418.30 = 5,086.12 : x
  2. Step 2: Convert to fraction form
    8,272.84/11,418.30 = 5,086.12/x
  3. Step 3: Cross multiply
    8,272.84x = 11,418.30 × 5,086.12
  4. Step 4: Simplify right side
    8,272.84x = 58,074,844.00
  5. Step 5: Solve for x
    x = 58,074,844.00/8,272.84
  6. Step 6: Final answer
    x = 7,019.94

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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.