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Finding the Fourth Proportional to 8,057.32, 11,119.10 and 4,520.64

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Solution

The fourth proportional to 8,057.32, 11,119.10 and 4,520.64 is: 6,238.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.32 : 11,119.10 = 4,520.64 : x
  2. Step 2: Convert to fraction form
    8,057.32/11,119.10 = 4,520.64/x
  3. Step 3: Cross multiply
    8,057.32x = 11,119.10 × 4,520.64
  4. Step 4: Simplify right side
    8,057.32x = 50,265,448.22
  5. Step 5: Solve for x
    x = 50,265,448.22/8,057.32
  6. Step 6: Final answer
    x = 6,238.48

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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.