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Finding the Fourth Proportional to 11,711.69, 16,161.93 and 6,406.39

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Solution

The fourth proportional to 11,711.69, 16,161.93 and 6,406.39 is: 8,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.69 : 16,161.93 = 6,406.39 : x
  2. Step 2: Convert to fraction form
    11,711.69/16,161.93 = 6,406.39/x
  3. Step 3: Cross multiply
    11,711.69x = 16,161.93 × 6,406.39
  4. Step 4: Simplify right side
    11,711.69x = 103,539,646.94
  5. Step 5: Solve for x
    x = 103,539,646.94/11,711.69
  6. Step 6: Final answer
    x = 8,840.71

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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.