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Finding the Fourth Proportional to 11,882.92, 16,394.42 and 6,847.02

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Solution

The fourth proportional to 11,882.92, 16,394.42 and 6,847.02 is: 9,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.92 : 16,394.42 = 6,847.02 : x
  2. Step 2: Convert to fraction form
    11,882.92/16,394.42 = 6,847.02/x
  3. Step 3: Cross multiply
    11,882.92x = 16,394.42 × 6,847.02
  4. Step 4: Simplify right side
    11,882.92x = 112,252,921.63
  5. Step 5: Solve for x
    x = 112,252,921.63/11,882.92
  6. Step 6: Final answer
    x = 9,446.58

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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.