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Finding the Fourth Proportional to 11,144.34, 16,706.76 and 5,589.90

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Solution

The fourth proportional to 11,144.34, 16,706.76 and 5,589.90 is: 8,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.34 : 16,706.76 = 5,589.90 : x
  2. Step 2: Convert to fraction form
    11,144.34/16,706.76 = 5,589.90/x
  3. Step 3: Cross multiply
    11,144.34x = 16,706.76 × 5,589.90
  4. Step 4: Simplify right side
    11,144.34x = 93,389,117.72
  5. Step 5: Solve for x
    x = 93,389,117.72/11,144.34
  6. Step 6: Final answer
    x = 8,379.96

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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.