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Finding the Fourth Proportional to 11,077.26, 16,623.18 and 5,234.46

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Solution

The fourth proportional to 11,077.26, 16,623.18 and 5,234.46 is: 7,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.26 : 16,623.18 = 5,234.46 : x
  2. Step 2: Convert to fraction form
    11,077.26/16,623.18 = 5,234.46/x
  3. Step 3: Cross multiply
    11,077.26x = 16,623.18 × 5,234.46
  4. Step 4: Simplify right side
    11,077.26x = 87,013,370.78
  5. Step 5: Solve for x
    x = 87,013,370.78/11,077.26
  6. Step 6: Final answer
    x = 7,855.13

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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.