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Finding the Fourth Proportional to 11,326.86, 16,982.54 and 5,769.46

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Solution

The fourth proportional to 11,326.86, 16,982.54 and 5,769.46 is: 8,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,326.86 : 16,982.54 = 5,769.46 : x
  2. Step 2: Convert to fraction form
    11,326.86/16,982.54 = 5,769.46/x
  3. Step 3: Cross multiply
    11,326.86x = 16,982.54 × 5,769.46
  4. Step 4: Simplify right side
    11,326.86x = 97,980,085.23
  5. Step 5: Solve for x
    x = 97,980,085.23/11,326.86
  6. Step 6: Final answer
    x = 8,650.24

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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.