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Finding the Fourth Proportional to 11,586.35, 17,377.68 and 3,687.84

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Solution

The fourth proportional to 11,586.35, 17,377.68 and 3,687.84 is: 5,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.35 : 17,377.68 = 3,687.84 : x
  2. Step 2: Convert to fraction form
    11,586.35/17,377.68 = 3,687.84/x
  3. Step 3: Cross multiply
    11,586.35x = 17,377.68 × 3,687.84
  4. Step 4: Simplify right side
    11,586.35x = 64,086,103.41
  5. Step 5: Solve for x
    x = 64,086,103.41/11,586.35
  6. Step 6: Final answer
    x = 5,531.17

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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.