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Finding the Fourth Proportional to 11,588.72, 17,372.16 and 3,792.08

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Solution

The fourth proportional to 11,588.72, 17,372.16 and 3,792.08 is: 5,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.72 : 17,372.16 = 3,792.08 : x
  2. Step 2: Convert to fraction form
    11,588.72/17,372.16 = 3,792.08/x
  3. Step 3: Cross multiply
    11,588.72x = 17,372.16 × 3,792.08
  4. Step 4: Simplify right side
    11,588.72x = 65,876,620.49
  5. Step 5: Solve for x
    x = 65,876,620.49/11,588.72
  6. Step 6: Final answer
    x = 5,684.55

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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.