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Finding the Fourth Proportional to 11,324.24, 16,978.61 and 5,766.83

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Solution

The fourth proportional to 11,324.24, 16,978.61 and 5,766.83 is: 8,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.24 : 16,978.61 = 5,766.83 : x
  2. Step 2: Convert to fraction form
    11,324.24/16,978.61 = 5,766.83/x
  3. Step 3: Cross multiply
    11,324.24x = 16,978.61 × 5,766.83
  4. Step 4: Simplify right side
    11,324.24x = 97,912,757.51
  5. Step 5: Solve for x
    x = 97,912,757.51/11,324.24
  6. Step 6: Final answer
    x = 8,646.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.