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Finding the Fourth Proportional to 11,629.50, 16,054.38 and 7,157.22

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Solution

The fourth proportional to 11,629.50, 16,054.38 and 7,157.22 is: 9,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.50 : 16,054.38 = 7,157.22 : x
  2. Step 2: Convert to fraction form
    11,629.50/16,054.38 = 7,157.22/x
  3. Step 3: Cross multiply
    11,629.50x = 16,054.38 × 7,157.22
  4. Step 4: Simplify right side
    11,629.50x = 114,904,729.62
  5. Step 5: Solve for x
    x = 114,904,729.62/11,629.50
  6. Step 6: Final answer
    x = 9,880.45

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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.