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Finding the Fourth Proportional to 11,885.98, 16,410.12 and 7,638.94

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Solution

The fourth proportional to 11,885.98, 16,410.12 and 7,638.94 is: 10,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.98 : 16,410.12 = 7,638.94 : x
  2. Step 2: Convert to fraction form
    11,885.98/16,410.12 = 7,638.94/x
  3. Step 3: Cross multiply
    11,885.98x = 16,410.12 × 7,638.94
  4. Step 4: Simplify right side
    11,885.98x = 125,355,922.07
  5. Step 5: Solve for x
    x = 125,355,922.07/11,885.98
  6. Step 6: Final answer
    x = 10,546.54

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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.