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Finding the Fourth Proportional to 11,770.18, 17,662.12 and 4,379.82

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Solution

The fourth proportional to 11,770.18, 17,662.12 and 4,379.82 is: 6,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.18 : 17,662.12 = 4,379.82 : x
  2. Step 2: Convert to fraction form
    11,770.18/17,662.12 = 4,379.82/x
  3. Step 3: Cross multiply
    11,770.18x = 17,662.12 × 4,379.82
  4. Step 4: Simplify right side
    11,770.18x = 77,356,906.42
  5. Step 5: Solve for x
    x = 77,356,906.42/11,770.18
  6. Step 6: Final answer
    x = 6,572.28

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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.