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Finding the Fourth Proportional to 11,586.61, 17,381.97 and 4,201.39

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Solution

The fourth proportional to 11,586.61, 17,381.97 and 4,201.39 is: 6,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.61 : 17,381.97 = 4,201.39 : x
  2. Step 2: Convert to fraction form
    11,586.61/17,381.97 = 4,201.39/x
  3. Step 3: Cross multiply
    11,586.61x = 17,381.97 × 4,201.39
  4. Step 4: Simplify right side
    11,586.61x = 73,028,434.94
  5. Step 5: Solve for x
    x = 73,028,434.94/11,586.61
  6. Step 6: Final answer
    x = 6,302.83

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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.