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Finding the Fourth Proportional to 11,596.05, 17,380.63 and 5,342.94

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Solution

The fourth proportional to 11,596.05, 17,380.63 and 5,342.94 is: 8,008.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.05 : 17,380.63 = 5,342.94 : x
  2. Step 2: Convert to fraction form
    11,596.05/17,380.63 = 5,342.94/x
  3. Step 3: Cross multiply
    11,596.05x = 17,380.63 × 5,342.94
  4. Step 4: Simplify right side
    11,596.05x = 92,863,663.25
  5. Step 5: Solve for x
    x = 92,863,663.25/11,596.05
  6. Step 6: Final answer
    x = 8,008.22

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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.