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Finding the Fourth Proportional to 11,789.65, 16,265.67 and 7,311.79

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Solution

The fourth proportional to 11,789.65, 16,265.67 and 7,311.79 is: 10,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.65 : 16,265.67 = 7,311.79 : x
  2. Step 2: Convert to fraction form
    11,789.65/16,265.67 = 7,311.79/x
  3. Step 3: Cross multiply
    11,789.65x = 16,265.67 × 7,311.79
  4. Step 4: Simplify right side
    11,789.65x = 118,931,163.25
  5. Step 5: Solve for x
    x = 118,931,163.25/11,789.65
  6. Step 6: Final answer
    x = 10,087.76

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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.