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Finding the Fourth Proportional to 11,882.52, 16,401.53 and 6,850.11

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Solution

The fourth proportional to 11,882.52, 16,401.53 and 6,850.11 is: 9,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.52 : 16,401.53 = 6,850.11 : x
  2. Step 2: Convert to fraction form
    11,882.52/16,401.53 = 6,850.11/x
  3. Step 3: Cross multiply
    11,882.52x = 16,401.53 × 6,850.11
  4. Step 4: Simplify right side
    11,882.52x = 112,352,284.67
  5. Step 5: Solve for x
    x = 112,352,284.67/11,882.52
  6. Step 6: Final answer
    x = 9,455.26

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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.