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Finding the Fourth Proportional to 11,591.92, 15,997.26 and 6,556.69

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Solution

The fourth proportional to 11,591.92, 15,997.26 and 6,556.69 is: 9,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.92 : 15,997.26 = 6,556.69 : x
  2. Step 2: Convert to fraction form
    11,591.92/15,997.26 = 6,556.69/x
  3. Step 3: Cross multiply
    11,591.92x = 15,997.26 × 6,556.69
  4. Step 4: Simplify right side
    11,591.92x = 104,889,074.67
  5. Step 5: Solve for x
    x = 104,889,074.67/11,591.92
  6. Step 6: Final answer
    x = 9,048.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.