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Finding the Fourth Proportional to 11,600.82, 16,008.57 and 6,563.70

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Solution

The fourth proportional to 11,600.82, 16,008.57 and 6,563.70 is: 9,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.82 : 16,008.57 = 6,563.70 : x
  2. Step 2: Convert to fraction form
    11,600.82/16,008.57 = 6,563.70/x
  3. Step 3: Cross multiply
    11,600.82x = 16,008.57 × 6,563.70
  4. Step 4: Simplify right side
    11,600.82x = 105,075,450.91
  5. Step 5: Solve for x
    x = 105,075,450.91/11,600.82
  6. Step 6: Final answer
    x = 9,057.59

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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.