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Finding the Fourth Proportional to 11,882.59, 16,401.62 and 6,850.17

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Solution

The fourth proportional to 11,882.59, 16,401.62 and 6,850.17 is: 9,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.59 : 16,401.62 = 6,850.17 : x
  2. Step 2: Convert to fraction form
    11,882.59/16,401.62 = 6,850.17/x
  3. Step 3: Cross multiply
    11,882.59x = 16,401.62 × 6,850.17
  4. Step 4: Simplify right side
    11,882.59x = 112,353,902.40
  5. Step 5: Solve for x
    x = 112,353,902.40/11,882.59
  6. Step 6: Final answer
    x = 9,455.34

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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.