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Finding the Fourth Proportional to 11,868.80, 16,378.84 and 6,563.56

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Solution

The fourth proportional to 11,868.80, 16,378.84 and 6,563.56 is: 9,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.80 : 16,378.84 = 6,563.56 : x
  2. Step 2: Convert to fraction form
    11,868.80/16,378.84 = 6,563.56/x
  3. Step 3: Cross multiply
    11,868.80x = 16,378.84 × 6,563.56
  4. Step 4: Simplify right side
    11,868.80x = 107,503,499.07
  5. Step 5: Solve for x
    x = 107,503,499.07/11,868.80
  6. Step 6: Final answer
    x = 9,057.66

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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.