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Finding the Fourth Proportional to 11,882.34, 16,396.44 and 6,577.02

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Solution

The fourth proportional to 11,882.34, 16,396.44 and 6,577.02 is: 9,075.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.34 : 16,396.44 = 6,577.02 : x
  2. Step 2: Convert to fraction form
    11,882.34/16,396.44 = 6,577.02/x
  3. Step 3: Cross multiply
    11,882.34x = 16,396.44 × 6,577.02
  4. Step 4: Simplify right side
    11,882.34x = 107,839,713.81
  5. Step 5: Solve for x
    x = 107,839,713.81/11,882.34
  6. Step 6: Final answer
    x = 9,075.63

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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.