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Finding the Fourth Proportional to 11,969.49, 16,518.38 and 6,933.63

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Solution

The fourth proportional to 11,969.49, 16,518.38 and 6,933.63 is: 9,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.49 : 16,518.38 = 6,933.63 : x
  2. Step 2: Convert to fraction form
    11,969.49/16,518.38 = 6,933.63/x
  3. Step 3: Cross multiply
    11,969.49x = 16,518.38 × 6,933.63
  4. Step 4: Simplify right side
    11,969.49x = 114,532,335.12
  5. Step 5: Solve for x
    x = 114,532,335.12/11,969.49
  6. Step 6: Final answer
    x = 9,568.69

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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.