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Finding the Fourth Proportional to 11,882.35, 16,398.03 and 6,846.18

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Solution

The fourth proportional to 11,882.35, 16,398.03 and 6,846.18 is: 9,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.35 : 16,398.03 = 6,846.18 : x
  2. Step 2: Convert to fraction form
    11,882.35/16,398.03 = 6,846.18/x
  3. Step 3: Cross multiply
    11,882.35x = 16,398.03 × 6,846.18
  4. Step 4: Simplify right side
    11,882.35x = 112,263,865.03
  5. Step 5: Solve for x
    x = 112,263,865.03/11,882.35
  6. Step 6: Final answer
    x = 9,447.95

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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.