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Finding the Fourth Proportional to 11,829.63, 16,324.88 and 6,524.47

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Solution

The fourth proportional to 11,829.63, 16,324.88 and 6,524.47 is: 9,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.63 : 16,324.88 = 6,524.47 : x
  2. Step 2: Convert to fraction form
    11,829.63/16,324.88 = 6,524.47/x
  3. Step 3: Cross multiply
    11,829.63x = 16,324.88 × 6,524.47
  4. Step 4: Simplify right side
    11,829.63x = 106,511,116.38
  5. Step 5: Solve for x
    x = 106,511,116.38/11,829.63
  6. Step 6: Final answer
    x = 9,003.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.