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Finding the Fourth Proportional to 11,177.96, 16,766.94 and 7,306.97

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Solution

The fourth proportional to 11,177.96, 16,766.94 and 7,306.97 is: 10,960.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.96 : 16,766.94 = 7,306.97 : x
  2. Step 2: Convert to fraction form
    11,177.96/16,766.94 = 7,306.97/x
  3. Step 3: Cross multiply
    11,177.96x = 16,766.94 × 7,306.97
  4. Step 4: Simplify right side
    11,177.96x = 122,515,443.74
  5. Step 5: Solve for x
    x = 122,515,443.74/11,177.96
  6. Step 6: Final answer
    x = 10,960.45

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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.