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Finding the Fourth Proportional to 11,882.65, 16,401.70 and 6,850.23

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Solution

The fourth proportional to 11,882.65, 16,401.70 and 6,850.23 is: 9,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.65 : 16,401.70 = 6,850.23 : x
  2. Step 2: Convert to fraction form
    11,882.65/16,401.70 = 6,850.23/x
  3. Step 3: Cross multiply
    11,882.65x = 16,401.70 × 6,850.23
  4. Step 4: Simplify right side
    11,882.65x = 112,355,417.39
  5. Step 5: Solve for x
    x = 112,355,417.39/11,882.65
  6. Step 6: Final answer
    x = 9,455.42

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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.