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Finding the Fourth Proportional to 11,186.78, 16,782.18 and 4,609.37

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Solution

The fourth proportional to 11,186.78, 16,782.18 and 4,609.37 is: 6,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.78 : 16,782.18 = 4,609.37 : x
  2. Step 2: Convert to fraction form
    11,186.78/16,782.18 = 4,609.37/x
  3. Step 3: Cross multiply
    11,186.78x = 16,782.18 × 4,609.37
  4. Step 4: Simplify right side
    11,186.78x = 77,355,193.12
  5. Step 5: Solve for x
    x = 77,355,193.12/11,186.78
  6. Step 6: Final answer
    x = 6,914.88

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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.