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Finding the Fourth Proportional to 11,789.61, 16,269.92 and 6,484.69

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Solution

The fourth proportional to 11,789.61, 16,269.92 and 6,484.69 is: 8,949.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.61 : 16,269.92 = 6,484.69 : x
  2. Step 2: Convert to fraction form
    11,789.61/16,269.92 = 6,484.69/x
  3. Step 3: Cross multiply
    11,789.61x = 16,269.92 × 6,484.69
  4. Step 4: Simplify right side
    11,789.61x = 105,505,355.10
  5. Step 5: Solve for x
    x = 105,505,355.10/11,789.61
  6. Step 6: Final answer
    x = 8,949.02

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