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Finding the Fourth Proportional to 11,600.82, 16,013.28 and 6,885.09

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Solution

The fourth proportional to 11,600.82, 16,013.28 and 6,885.09 is: 9,503.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.82 : 16,013.28 = 6,885.09 : x
  2. Step 2: Convert to fraction form
    11,600.82/16,013.28 = 6,885.09/x
  3. Step 3: Cross multiply
    11,600.82x = 16,013.28 × 6,885.09
  4. Step 4: Simplify right side
    11,600.82x = 110,252,874.00
  5. Step 5: Solve for x
    x = 110,252,874.00/11,600.82
  6. Step 6: Final answer
    x = 9,503.89

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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.