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Finding the Fourth Proportional to 7,906.16, 11,859.94 and 2,062.82

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Solution

The fourth proportional to 7,906.16, 11,859.94 and 2,062.82 is: 3,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.16 : 11,859.94 = 2,062.82 : x
  2. Step 2: Convert to fraction form
    7,906.16/11,859.94 = 2,062.82/x
  3. Step 3: Cross multiply
    7,906.16x = 11,859.94 × 2,062.82
  4. Step 4: Simplify right side
    7,906.16x = 24,464,921.43
  5. Step 5: Solve for x
    x = 24,464,921.43/7,906.16
  6. Step 6: Final answer
    x = 3,094.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.