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Finding the Fourth Proportional to 7,983.69, 11,986.13 and 6,821.16

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Solution

The fourth proportional to 7,983.69, 11,986.13 and 6,821.16 is: 10,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.69 : 11,986.13 = 6,821.16 : x
  2. Step 2: Convert to fraction form
    7,983.69/11,986.13 = 6,821.16/x
  3. Step 3: Cross multiply
    7,983.69x = 11,986.13 × 6,821.16
  4. Step 4: Simplify right side
    7,983.69x = 81,759,310.51
  5. Step 5: Solve for x
    x = 81,759,310.51/7,983.69
  6. Step 6: Final answer
    x = 10,240.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.