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Finding the Fourth Proportional to 11,862.92, 17,794.92 and 3,966.14

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Solution

The fourth proportional to 11,862.92, 17,794.92 and 3,966.14 is: 5,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.92 : 17,794.92 = 3,966.14 : x
  2. Step 2: Convert to fraction form
    11,862.92/17,794.92 = 3,966.14/x
  3. Step 3: Cross multiply
    11,862.92x = 17,794.92 × 3,966.14
  4. Step 4: Simplify right side
    11,862.92x = 70,577,144.01
  5. Step 5: Solve for x
    x = 70,577,144.01/11,862.92
  6. Step 6: Final answer
    x = 5,949.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.