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Finding the Fourth Proportional to 11,913.75, 16,441.38 and 7,729.29

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Solution

The fourth proportional to 11,913.75, 16,441.38 and 7,729.29 is: 10,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.75 : 16,441.38 = 7,729.29 : x
  2. Step 2: Convert to fraction form
    11,913.75/16,441.38 = 7,729.29/x
  3. Step 3: Cross multiply
    11,913.75x = 16,441.38 × 7,729.29
  4. Step 4: Simplify right side
    11,913.75x = 127,080,194.02
  5. Step 5: Solve for x
    x = 127,080,194.02/11,913.75
  6. Step 6: Final answer
    x = 10,666.68

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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.