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Finding the Fourth Proportional to 11,803.92, 16,289.50 and 6,426.39

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Solution

The fourth proportional to 11,803.92, 16,289.50 and 6,426.39 is: 8,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.92 : 16,289.50 = 6,426.39 : x
  2. Step 2: Convert to fraction form
    11,803.92/16,289.50 = 6,426.39/x
  3. Step 3: Cross multiply
    11,803.92x = 16,289.50 × 6,426.39
  4. Step 4: Simplify right side
    11,803.92x = 104,682,661.48
  5. Step 5: Solve for x
    x = 104,682,661.48/11,803.92
  6. Step 6: Final answer
    x = 8,868.47

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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.