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Finding the Fourth Proportional to 11,057.87, 15,254.06 and 6,578.44

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Solution

The fourth proportional to 11,057.87, 15,254.06 and 6,578.44 is: 9,074.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.87 : 15,254.06 = 6,578.44 : x
  2. Step 2: Convert to fraction form
    11,057.87/15,254.06 = 6,578.44/x
  3. Step 3: Cross multiply
    11,057.87x = 15,254.06 × 6,578.44
  4. Step 4: Simplify right side
    11,057.87x = 100,347,847.44
  5. Step 5: Solve for x
    x = 100,347,847.44/11,057.87
  6. Step 6: Final answer
    x = 9,074.79

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Why These Related Problems?

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