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Finding the Fourth Proportional to 8,057.68, 11,119.53 and 4,520.82

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Solution

The fourth proportional to 8,057.68, 11,119.53 and 4,520.82 is: 6,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.68 : 11,119.53 = 4,520.82 : x
  2. Step 2: Convert to fraction form
    8,057.68/11,119.53 = 4,520.82/x
  3. Step 3: Cross multiply
    8,057.68x = 11,119.53 × 4,520.82
  4. Step 4: Simplify right side
    8,057.68x = 50,269,393.61
  5. Step 5: Solve for x
    x = 50,269,393.61/8,057.68
  6. Step 6: Final answer
    x = 6,238.69

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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.