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Finding the Fourth Proportional to 11,156.28, 16,711.64 and 6,228.54

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Solution

The fourth proportional to 11,156.28, 16,711.64 and 6,228.54 is: 9,330.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,156.28 : 16,711.64 = 6,228.54 : x
  2. Step 2: Convert to fraction form
    11,156.28/16,711.64 = 6,228.54/x
  3. Step 3: Cross multiply
    11,156.28x = 16,711.64 × 6,228.54
  4. Step 4: Simplify right side
    11,156.28x = 104,089,087.06
  5. Step 5: Solve for x
    x = 104,089,087.06/11,156.28
  6. Step 6: Final answer
    x = 9,330.09

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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.