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Finding the Fourth Proportional to 11,789.82, 16,269.30 and 6,484.59

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Solution

The fourth proportional to 11,789.82, 16,269.30 and 6,484.59 is: 8,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.82 : 16,269.30 = 6,484.59 : x
  2. Step 2: Convert to fraction form
    11,789.82/16,269.30 = 6,484.59/x
  3. Step 3: Cross multiply
    11,789.82x = 16,269.30 × 6,484.59
  4. Step 4: Simplify right side
    11,789.82x = 105,499,740.09
  5. Step 5: Solve for x
    x = 105,499,740.09/11,789.82
  6. Step 6: Final answer
    x = 8,948.38

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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.