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Finding the Fourth Proportional to 11,789.68, 16,269.81 and 6,484.84

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Solution

The fourth proportional to 11,789.68, 16,269.81 and 6,484.84 is: 8,949.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.68 : 16,269.81 = 6,484.84 : x
  2. Step 2: Convert to fraction form
    11,789.68/16,269.81 = 6,484.84/x
  3. Step 3: Cross multiply
    11,789.68x = 16,269.81 × 6,484.84
  4. Step 4: Simplify right side
    11,789.68x = 105,507,114.68
  5. Step 5: Solve for x
    x = 105,507,114.68/11,789.68
  6. Step 6: Final answer
    x = 8,949.11

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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.