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Finding the Fourth Proportional to 11,586.88, 17,366.39 and 5,338.30

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Solution

The fourth proportional to 11,586.88, 17,366.39 and 5,338.30 is: 8,001.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.88 : 17,366.39 = 5,338.30 : x
  2. Step 2: Convert to fraction form
    11,586.88/17,366.39 = 5,338.30/x
  3. Step 3: Cross multiply
    11,586.88x = 17,366.39 × 5,338.30
  4. Step 4: Simplify right side
    11,586.88x = 92,706,999.74
  5. Step 5: Solve for x
    x = 92,706,999.74/11,586.88
  6. Step 6: Final answer
    x = 8,001.03

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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.