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Finding the Fourth Proportional to 11,786.21, 16,262.94 and 6,681.49

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Solution

The fourth proportional to 11,786.21, 16,262.94 and 6,681.49 is: 9,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.21 : 16,262.94 = 6,681.49 : x
  2. Step 2: Convert to fraction form
    11,786.21/16,262.94 = 6,681.49/x
  3. Step 3: Cross multiply
    11,786.21x = 16,262.94 × 6,681.49
  4. Step 4: Simplify right side
    11,786.21x = 108,660,655.38
  5. Step 5: Solve for x
    x = 108,660,655.38/11,786.21
  6. Step 6: Final answer
    x = 9,219.31

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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.