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Finding the Fourth Proportional to 8,109.84, 11,191.16 and 4,524.56

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Solution

The fourth proportional to 8,109.84, 11,191.16 and 4,524.56 is: 6,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.84 : 11,191.16 = 4,524.56 : x
  2. Step 2: Convert to fraction form
    8,109.84/11,191.16 = 4,524.56/x
  3. Step 3: Cross multiply
    8,109.84x = 11,191.16 × 4,524.56
  4. Step 4: Simplify right side
    8,109.84x = 50,635,074.89
  5. Step 5: Solve for x
    x = 50,635,074.89/8,109.84
  6. Step 6: Final answer
    x = 6,243.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.