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Finding the Fourth Proportional to 7,906, 11,858.64 and 2,062.48

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Solution

The fourth proportional to 7,906, 11,858.64 and 2,062.48 is: 3,093.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906 : 11,858.64 = 2,062.48 : x
  2. Step 2: Convert to fraction form
    7,906/11,858.64 = 2,062.48/x
  3. Step 3: Cross multiply
    7,906x = 11,858.64 × 2,062.48
  4. Step 4: Simplify right side
    7,906x = 24,458,207.83
  5. Step 5: Solve for x
    x = 24,458,207.83/7,906
  6. Step 6: Final answer
    x = 3,093.63

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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.