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Finding the Fourth Proportional to 11,589, 17,373.12 and 4,191.72

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Solution

The fourth proportional to 11,589, 17,373.12 and 4,191.72 is: 6,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589 : 17,373.12 = 4,191.72 : x
  2. Step 2: Convert to fraction form
    11,589/17,373.12 = 4,191.72/x
  3. Step 3: Cross multiply
    11,589x = 17,373.12 × 4,191.72
  4. Step 4: Simplify right side
    11,589x = 72,823,254.57
  5. Step 5: Solve for x
    x = 72,823,254.57/11,589
  6. Step 6: Final answer
    x = 6,283.83

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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.