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Finding the Fourth Proportional to 11,951.50, 16,464.52 and 8,359.75

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Solution

The fourth proportional to 11,951.50, 16,464.52 and 8,359.75 is: 11,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.50 : 16,464.52 = 8,359.75 : x
  2. Step 2: Convert to fraction form
    11,951.50/16,464.52 = 8,359.75/x
  3. Step 3: Cross multiply
    11,951.50x = 16,464.52 × 8,359.75
  4. Step 4: Simplify right side
    11,951.50x = 137,639,296.40
  5. Step 5: Solve for x
    x = 137,639,296.40/11,951.50
  6. Step 6: Final answer
    x = 11,516.49

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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.