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Finding the Fourth Proportional to 10,937.97, 15,093.03 and 6,157.32

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Solution

The fourth proportional to 10,937.97, 15,093.03 and 6,157.32 is: 8,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.97 : 15,093.03 = 6,157.32 : x
  2. Step 2: Convert to fraction form
    10,937.97/15,093.03 = 6,157.32/x
  3. Step 3: Cross multiply
    10,937.97x = 15,093.03 × 6,157.32
  4. Step 4: Simplify right side
    10,937.97x = 92,932,540.01
  5. Step 5: Solve for x
    x = 92,932,540.01/10,937.97
  6. Step 6: Final answer
    x = 8,496.33

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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.