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Finding the Fourth Proportional to 11,770.86, 17,663.73 and 6,580.14

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Solution

The fourth proportional to 11,770.86, 17,663.73 and 6,580.14 is: 9,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.86 : 17,663.73 = 6,580.14 : x
  2. Step 2: Convert to fraction form
    11,770.86/17,663.73 = 6,580.14/x
  3. Step 3: Cross multiply
    11,770.86x = 17,663.73 × 6,580.14
  4. Step 4: Simplify right side
    11,770.86x = 116,229,816.32
  5. Step 5: Solve for x
    x = 116,229,816.32/11,770.86
  6. Step 6: Final answer
    x = 9,874.37

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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.