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Finding the Fourth Proportional to 11,946.39, 16,472.73 and 8,170.17

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Solution

The fourth proportional to 11,946.39, 16,472.73 and 8,170.17 is: 11,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.39 : 16,472.73 = 8,170.17 : x
  2. Step 2: Convert to fraction form
    11,946.39/16,472.73 = 8,170.17/x
  3. Step 3: Cross multiply
    11,946.39x = 16,472.73 × 8,170.17
  4. Step 4: Simplify right side
    11,946.39x = 134,585,004.46
  5. Step 5: Solve for x
    x = 134,585,004.46/11,946.39
  6. Step 6: Final answer
    x = 11,265.75

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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.