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Finding the Fourth Proportional to 11,180.72, 16,771.80 and 6,554

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Solution

The fourth proportional to 11,180.72, 16,771.80 and 6,554 is: 9,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.72 : 16,771.80 = 6,554 : x
  2. Step 2: Convert to fraction form
    11,180.72/16,771.80 = 6,554/x
  3. Step 3: Cross multiply
    11,180.72x = 16,771.80 × 6,554
  4. Step 4: Simplify right side
    11,180.72x = 109,922,377.20
  5. Step 5: Solve for x
    x = 109,922,377.20/11,180.72
  6. Step 6: Final answer
    x = 9,831.42

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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.