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Finding the Fourth Proportional to 11,109.78, 16,654.86 and 4,189.14

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Solution

The fourth proportional to 11,109.78, 16,654.86 and 4,189.14 is: 6,280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,109.78 : 16,654.86 = 4,189.14 : x
  2. Step 2: Convert to fraction form
    11,109.78/16,654.86 = 4,189.14/x
  3. Step 3: Cross multiply
    11,109.78x = 16,654.86 × 4,189.14
  4. Step 4: Simplify right side
    11,109.78x = 69,769,540.22
  5. Step 5: Solve for x
    x = 69,769,540.22/11,109.78
  6. Step 6: Final answer
    x = 6,280.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.