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Finding the Fourth Proportional to 11,920.40, 16,449.24 and 6,882.32

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Solution

The fourth proportional to 11,920.40, 16,449.24 and 6,882.32 is: 9,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.40 : 16,449.24 = 6,882.32 : x
  2. Step 2: Convert to fraction form
    11,920.40/16,449.24 = 6,882.32/x
  3. Step 3: Cross multiply
    11,920.40x = 16,449.24 × 6,882.32
  4. Step 4: Simplify right side
    11,920.40x = 113,208,933.44
  5. Step 5: Solve for x
    x = 113,208,933.44/11,920.40
  6. Step 6: Final answer
    x = 9,497.08

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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.