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Finding the Fourth Proportional to 11,882.40, 16,401.12 and 8,346.56

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Solution

The fourth proportional to 11,882.40, 16,401.12 and 8,346.56 is: 11,520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.40 : 16,401.12 = 8,346.56 : x
  2. Step 2: Convert to fraction form
    11,882.40/16,401.12 = 8,346.56/x
  3. Step 3: Cross multiply
    11,882.40x = 16,401.12 × 8,346.56
  4. Step 4: Simplify right side
    11,882.40x = 136,892,932.15
  5. Step 5: Solve for x
    x = 136,892,932.15/11,882.40
  6. Step 6: Final answer
    x = 11,520.65

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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.