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Finding the Fourth Proportional to 11,794.35, 16,299.56 and 9,666.53

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Solution

The fourth proportional to 11,794.35, 16,299.56 and 9,666.53 is: 13,358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.35 : 16,299.56 = 9,666.53 : x
  2. Step 2: Convert to fraction form
    11,794.35/16,299.56 = 9,666.53/x
  3. Step 3: Cross multiply
    11,794.35x = 16,299.56 × 9,666.53
  4. Step 4: Simplify right side
    11,794.35x = 157,560,185.73
  5. Step 5: Solve for x
    x = 157,560,185.73/11,794.35
  6. Step 6: Final answer
    x = 13,358.95

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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.