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Finding the Fourth Proportional to 11,588.70, 17,383.04 and 4,191.42

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Solution

The fourth proportional to 11,588.70, 17,383.04 and 4,191.42 is: 6,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.70 : 17,383.04 = 4,191.42 : x
  2. Step 2: Convert to fraction form
    11,588.70/17,383.04 = 4,191.42/x
  3. Step 3: Cross multiply
    11,588.70x = 17,383.04 × 4,191.42
  4. Step 4: Simplify right side
    11,588.70x = 72,859,600.56
  5. Step 5: Solve for x
    x = 72,859,600.56/11,588.70
  6. Step 6: Final answer
    x = 6,287.12

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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.