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Finding the Fourth Proportional to 11,789.84, 16,270.03 and 6,484.68

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Solution

The fourth proportional to 11,789.84, 16,270.03 and 6,484.68 is: 8,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.84 : 16,270.03 = 6,484.68 : x
  2. Step 2: Convert to fraction form
    11,789.84/16,270.03 = 6,484.68/x
  3. Step 3: Cross multiply
    11,789.84x = 16,270.03 × 6,484.68
  4. Step 4: Simplify right side
    11,789.84x = 105,505,938.14
  5. Step 5: Solve for x
    x = 105,505,938.14/11,789.84
  6. Step 6: Final answer
    x = 8,948.89

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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.