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Finding the Fourth Proportional to 11,186, 16,766.68 and 4,608.59

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Solution

The fourth proportional to 11,186, 16,766.68 and 4,608.59 is: 6,907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186 : 16,766.68 = 4,608.59 : x
  2. Step 2: Convert to fraction form
    11,186/16,766.68 = 4,608.59/x
  3. Step 3: Cross multiply
    11,186x = 16,766.68 × 4,608.59
  4. Step 4: Simplify right side
    11,186x = 77,270,753.78
  5. Step 5: Solve for x
    x = 77,270,753.78/11,186
  6. Step 6: Final answer
    x = 6,907.81

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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.