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Finding the Fourth Proportional to 11,516.94, 17,277.65 and 4,496.67

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Solution

The fourth proportional to 11,516.94, 17,277.65 and 4,496.67 is: 6,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.94 : 17,277.65 = 4,496.67 : x
  2. Step 2: Convert to fraction form
    11,516.94/17,277.65 = 4,496.67/x
  3. Step 3: Cross multiply
    11,516.94x = 17,277.65 × 4,496.67
  4. Step 4: Simplify right side
    11,516.94x = 77,691,867.94
  5. Step 5: Solve for x
    x = 77,691,867.94/11,516.94
  6. Step 6: Final answer
    x = 6,745.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.