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Finding the Fourth Proportional to 11,909.78, 17,864.68 and 4,114.34

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Solution

The fourth proportional to 11,909.78, 17,864.68 and 4,114.34 is: 6,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.78 : 17,864.68 = 4,114.34 : x
  2. Step 2: Convert to fraction form
    11,909.78/17,864.68 = 4,114.34/x
  3. Step 3: Cross multiply
    11,909.78x = 17,864.68 × 4,114.34
  4. Step 4: Simplify right side
    11,909.78x = 73,501,367.51
  5. Step 5: Solve for x
    x = 73,501,367.51/11,909.78
  6. Step 6: Final answer
    x = 6,171.51

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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.