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Finding the Fourth Proportional to 11,916.98, 16,447.82 and 6,882.02

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Solution

The fourth proportional to 11,916.98, 16,447.82 and 6,882.02 is: 9,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.98 : 16,447.82 = 6,882.02 : x
  2. Step 2: Convert to fraction form
    11,916.98/16,447.82 = 6,882.02/x
  3. Step 3: Cross multiply
    11,916.98x = 16,447.82 × 6,882.02
  4. Step 4: Simplify right side
    11,916.98x = 113,194,202.28
  5. Step 5: Solve for x
    x = 113,194,202.28/11,916.98
  6. Step 6: Final answer
    x = 9,498.57

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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.