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Finding the Fourth Proportional to 11,161.85, 16,747.13 and 4,917.47

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Solution

The fourth proportional to 11,161.85, 16,747.13 and 4,917.47 is: 7,378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.85 : 16,747.13 = 4,917.47 : x
  2. Step 2: Convert to fraction form
    11,161.85/16,747.13 = 4,917.47/x
  3. Step 3: Cross multiply
    11,161.85x = 16,747.13 × 4,917.47
  4. Step 4: Simplify right side
    11,161.85x = 82,353,401.04
  5. Step 5: Solve for x
    x = 82,353,401.04/11,161.85
  6. Step 6: Final answer
    x = 7,378.12

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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.