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Finding the Fourth Proportional to 11,882.36, 16,401.58 and 7,906.04

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Solution

The fourth proportional to 11,882.36, 16,401.58 and 7,906.04 is: 10,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.36 : 16,401.58 = 7,906.04 : x
  2. Step 2: Convert to fraction form
    11,882.36/16,401.58 = 7,906.04/x
  3. Step 3: Cross multiply
    11,882.36x = 16,401.58 × 7,906.04
  4. Step 4: Simplify right side
    11,882.36x = 129,671,547.54
  5. Step 5: Solve for x
    x = 129,671,547.54/11,882.36
  6. Step 6: Final answer
    x = 10,912.95

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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.