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Finding the Fourth Proportional to 11,586.78, 17,380.32 and 7,663.14

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Solution

The fourth proportional to 11,586.78, 17,380.32 and 7,663.14 is: 11,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.78 : 17,380.32 = 7,663.14 : x
  2. Step 2: Convert to fraction form
    11,586.78/17,380.32 = 7,663.14/x
  3. Step 3: Cross multiply
    11,586.78x = 17,380.32 × 7,663.14
  4. Step 4: Simplify right side
    11,586.78x = 133,187,825.40
  5. Step 5: Solve for x
    x = 133,187,825.40/11,586.78
  6. Step 6: Final answer
    x = 11,494.81

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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.