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Finding the Fourth Proportional to 8,033.09, 11,052.73 and 7,846.66

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Solution

The fourth proportional to 8,033.09, 11,052.73 and 7,846.66 is: 10,796.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.09 : 11,052.73 = 7,846.66 : x
  2. Step 2: Convert to fraction form
    8,033.09/11,052.73 = 7,846.66/x
  3. Step 3: Cross multiply
    8,033.09x = 11,052.73 × 7,846.66
  4. Step 4: Simplify right side
    8,033.09x = 86,727,014.38
  5. Step 5: Solve for x
    x = 86,727,014.38/8,033.09
  6. Step 6: Final answer
    x = 10,796.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.