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Finding the Fourth Proportional to 11,982.98, 16,535.82 and 6,877.41

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Solution

The fourth proportional to 11,982.98, 16,535.82 and 6,877.41 is: 9,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982.98 : 16,535.82 = 6,877.41 : x
  2. Step 2: Convert to fraction form
    11,982.98/16,535.82 = 6,877.41/x
  3. Step 3: Cross multiply
    11,982.98x = 16,535.82 × 6,877.41
  4. Step 4: Simplify right side
    11,982.98x = 113,723,655.17
  5. Step 5: Solve for x
    x = 113,723,655.17/11,982.98
  6. Step 6: Final answer
    x = 9,490.43

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