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Finding the Fourth Proportional to 11,076.40, 16,614.42 and 3,285.28

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Solution

The fourth proportional to 11,076.40, 16,614.42 and 3,285.28 is: 4,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.40 : 16,614.42 = 3,285.28 : x
  2. Step 2: Convert to fraction form
    11,076.40/16,614.42 = 3,285.28/x
  3. Step 3: Cross multiply
    11,076.40x = 16,614.42 × 3,285.28
  4. Step 4: Simplify right side
    11,076.40x = 54,583,021.74
  5. Step 5: Solve for x
    x = 54,583,021.74/11,076.40
  6. Step 6: Final answer
    x = 4,927.87

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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.