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Finding the Fourth Proportional to 8,057.12, 11,118.52 and 4,520.53

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Solution

The fourth proportional to 8,057.12, 11,118.52 and 4,520.53 is: 6,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.12 : 11,118.52 = 4,520.53 : x
  2. Step 2: Convert to fraction form
    8,057.12/11,118.52 = 4,520.53/x
  3. Step 3: Cross multiply
    8,057.12x = 11,118.52 × 4,520.53
  4. Step 4: Simplify right side
    8,057.12x = 50,261,603.22
  5. Step 5: Solve for x
    x = 50,261,603.22/8,057.12
  6. Step 6: Final answer
    x = 6,238.16

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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.