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Finding the Fourth Proportional to 11,767.75, 16,243.14 and 7,576

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Solution

The fourth proportional to 11,767.75, 16,243.14 and 7,576 is: 10,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.75 : 16,243.14 = 7,576 : x
  2. Step 2: Convert to fraction form
    11,767.75/16,243.14 = 7,576/x
  3. Step 3: Cross multiply
    11,767.75x = 16,243.14 × 7,576
  4. Step 4: Simplify right side
    11,767.75x = 123,058,028.64
  5. Step 5: Solve for x
    x = 123,058,028.64/11,767.75
  6. Step 6: Final answer
    x = 10,457.23

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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.