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Finding the Fourth Proportional to 8,208.14, 11,320.82 and 7,264.94

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Solution

The fourth proportional to 8,208.14, 11,320.82 and 7,264.94 is: 10,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.14 : 11,320.82 = 7,264.94 : x
  2. Step 2: Convert to fraction form
    8,208.14/11,320.82 = 7,264.94/x
  3. Step 3: Cross multiply
    8,208.14x = 11,320.82 × 7,264.94
  4. Step 4: Simplify right side
    8,208.14x = 82,245,078.05
  5. Step 5: Solve for x
    x = 82,245,078.05/8,208.14
  6. Step 6: Final answer
    x = 10,019.94

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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.