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Finding the Fourth Proportional to 7,958.56, 11,918.40 and 5,486.44

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Solution

The fourth proportional to 7,958.56, 11,918.40 and 5,486.44 is: 8,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.56 : 11,918.40 = 5,486.44 : x
  2. Step 2: Convert to fraction form
    7,958.56/11,918.40 = 5,486.44/x
  3. Step 3: Cross multiply
    7,958.56x = 11,918.40 × 5,486.44
  4. Step 4: Simplify right side
    7,958.56x = 65,389,586.50
  5. Step 5: Solve for x
    x = 65,389,586.50/7,958.56
  6. Step 6: Final answer
    x = 8,216.26

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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.