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Finding the Fourth Proportional to 11,912.50, 16,439.99 and 6,877.64

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Solution

The fourth proportional to 11,912.50, 16,439.99 and 6,877.64 is: 9,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.50 : 16,439.99 = 6,877.64 : x
  2. Step 2: Convert to fraction form
    11,912.50/16,439.99 = 6,877.64/x
  3. Step 3: Cross multiply
    11,912.50x = 16,439.99 × 6,877.64
  4. Step 4: Simplify right side
    11,912.50x = 113,068,332.82
  5. Step 5: Solve for x
    x = 113,068,332.82/11,912.50
  6. Step 6: Final answer
    x = 9,491.57

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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.