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Finding the Fourth Proportional to 11,288.71, 16,930.34 and 4,711.33

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Solution

The fourth proportional to 11,288.71, 16,930.34 and 4,711.33 is: 7,065.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288.71 : 16,930.34 = 4,711.33 : x
  2. Step 2: Convert to fraction form
    11,288.71/16,930.34 = 4,711.33/x
  3. Step 3: Cross multiply
    11,288.71x = 16,930.34 × 4,711.33
  4. Step 4: Simplify right side
    11,288.71x = 79,764,310.54
  5. Step 5: Solve for x
    x = 79,764,310.54/11,288.71
  6. Step 6: Final answer
    x = 7,065.85

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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.