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Finding the Fourth Proportional to 8,210.36, 11,340.81 and 6,736.57

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Solution

The fourth proportional to 8,210.36, 11,340.81 and 6,736.57 is: 9,305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.36 : 11,340.81 = 6,736.57 : x
  2. Step 2: Convert to fraction form
    8,210.36/11,340.81 = 6,736.57/x
  3. Step 3: Cross multiply
    8,210.36x = 11,340.81 × 6,736.57
  4. Step 4: Simplify right side
    8,210.36x = 76,398,132.07
  5. Step 5: Solve for x
    x = 76,398,132.07/8,210.36
  6. Step 6: Final answer
    x = 9,305.09

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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.