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Finding the Fourth Proportional to 11,177.49, 16,766.21 and 2,857.49

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Solution

The fourth proportional to 11,177.49, 16,766.21 and 2,857.49 is: 4,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.49 : 16,766.21 = 2,857.49 : x
  2. Step 2: Convert to fraction form
    11,177.49/16,766.21 = 2,857.49/x
  3. Step 3: Cross multiply
    11,177.49x = 16,766.21 × 2,857.49
  4. Step 4: Simplify right side
    11,177.49x = 47,909,341.84
  5. Step 5: Solve for x
    x = 47,909,341.84/11,177.49
  6. Step 6: Final answer
    x = 4,286.23

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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.