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Finding the Fourth Proportional to 11,689, 16,130.82 and 6,721

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Solution

The fourth proportional to 11,689, 16,130.82 and 6,721 is: 9,274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689 : 16,130.82 = 6,721 : x
  2. Step 2: Convert to fraction form
    11,689/16,130.82 = 6,721/x
  3. Step 3: Cross multiply
    11,689x = 16,130.82 × 6,721
  4. Step 4: Simplify right side
    11,689x = 108,415,241.22
  5. Step 5: Solve for x
    x = 108,415,241.22/11,689
  6. Step 6: Final answer
    x = 9,274.98

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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.