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Finding the Fourth Proportional to 11,177.76, 16,757.04 and 6,243.36

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Solution

The fourth proportional to 11,177.76, 16,757.04 and 6,243.36 is: 9,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.76 : 16,757.04 = 6,243.36 : x
  2. Step 2: Convert to fraction form
    11,177.76/16,757.04 = 6,243.36/x
  3. Step 3: Cross multiply
    11,177.76x = 16,757.04 × 6,243.36
  4. Step 4: Simplify right side
    11,177.76x = 104,620,233.25
  5. Step 5: Solve for x
    x = 104,620,233.25/11,177.76
  6. Step 6: Final answer
    x = 9,359.68

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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.