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Finding the Fourth Proportional to 11,693.85, 16,137.51 and 6,388.68

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Solution

The fourth proportional to 11,693.85, 16,137.51 and 6,388.68 is: 8,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.85 : 16,137.51 = 6,388.68 : x
  2. Step 2: Convert to fraction form
    11,693.85/16,137.51 = 6,388.68/x
  3. Step 3: Cross multiply
    11,693.85x = 16,137.51 × 6,388.68
  4. Step 4: Simplify right side
    11,693.85x = 103,097,387.39
  5. Step 5: Solve for x
    x = 103,097,387.39/11,693.85
  6. Step 6: Final answer
    x = 8,816.38

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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.