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Finding the Fourth Proportional to 8,109.61, 11,191.25 and 4,383.61

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Solution

The fourth proportional to 8,109.61, 11,191.25 and 4,383.61 is: 6,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.61 : 11,191.25 = 4,383.61 : x
  2. Step 2: Convert to fraction form
    8,109.61/11,191.25 = 4,383.61/x
  3. Step 3: Cross multiply
    8,109.61x = 11,191.25 × 4,383.61
  4. Step 4: Simplify right side
    8,109.61x = 49,058,075.41
  5. Step 5: Solve for x
    x = 49,058,075.41/8,109.61
  6. Step 6: Final answer
    x = 6,049.38

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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.