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Finding the Fourth Proportional to 7,858.96, 11,788.40 and 2,015.56

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Solution

The fourth proportional to 7,858.96, 11,788.40 and 2,015.56 is: 3,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.96 : 11,788.40 = 2,015.56 : x
  2. Step 2: Convert to fraction form
    7,858.96/11,788.40 = 2,015.56/x
  3. Step 3: Cross multiply
    7,858.96x = 11,788.40 × 2,015.56
  4. Step 4: Simplify right side
    7,858.96x = 23,760,227.50
  5. Step 5: Solve for x
    x = 23,760,227.50/7,858.96
  6. Step 6: Final answer
    x = 3,023.33

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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.