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Finding the Fourth Proportional to 11,913.56, 16,438.50 and 7,719.38

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Solution

The fourth proportional to 11,913.56, 16,438.50 and 7,719.38 is: 10,651.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.56 : 16,438.50 = 7,719.38 : x
  2. Step 2: Convert to fraction form
    11,913.56/16,438.50 = 7,719.38/x
  3. Step 3: Cross multiply
    11,913.56x = 16,438.50 × 7,719.38
  4. Step 4: Simplify right side
    11,913.56x = 126,894,945.94
  5. Step 5: Solve for x
    x = 126,894,945.94/11,913.56
  6. Step 6: Final answer
    x = 10,651.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.