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Finding the Fourth Proportional to 11,187.82, 16,781.46 and 4,609.45

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Solution

The fourth proportional to 11,187.82, 16,781.46 and 4,609.45 is: 6,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187.82 : 16,781.46 = 4,609.45 : x
  2. Step 2: Convert to fraction form
    11,187.82/16,781.46 = 4,609.45/x
  3. Step 3: Cross multiply
    11,187.82x = 16,781.46 × 4,609.45
  4. Step 4: Simplify right side
    11,187.82x = 77,353,300.80
  5. Step 5: Solve for x
    x = 77,353,300.80/11,187.82
  6. Step 6: Final answer
    x = 6,914.06

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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.