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Finding the Fourth Proportional to 11,882.67, 16,396.34 and 6,577.46

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Solution

The fourth proportional to 11,882.67, 16,396.34 and 6,577.46 is: 9,075.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.67 : 16,396.34 = 6,577.46 : x
  2. Step 2: Convert to fraction form
    11,882.67/16,396.34 = 6,577.46/x
  3. Step 3: Cross multiply
    11,882.67x = 16,396.34 × 6,577.46
  4. Step 4: Simplify right side
    11,882.67x = 107,846,270.50
  5. Step 5: Solve for x
    x = 107,846,270.50/11,882.67
  6. Step 6: Final answer
    x = 9,075.93

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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.