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Finding the Fourth Proportional to 8,108.37, 11,189.54 and 4,382.37

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Solution

The fourth proportional to 8,108.37, 11,189.54 and 4,382.37 is: 6,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.37 : 11,189.54 = 4,382.37 : x
  2. Step 2: Convert to fraction form
    8,108.37/11,189.54 = 4,382.37/x
  3. Step 3: Cross multiply
    8,108.37x = 11,189.54 × 4,382.37
  4. Step 4: Simplify right side
    8,108.37x = 49,036,642.98
  5. Step 5: Solve for x
    x = 49,036,642.98/8,108.37
  6. Step 6: Final answer
    x = 6,047.66

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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.