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Finding the Fourth Proportional to 11,170.98, 16,751.70 and 4,149.81

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Solution

The fourth proportional to 11,170.98, 16,751.70 and 4,149.81 is: 6,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170.98 : 16,751.70 = 4,149.81 : x
  2. Step 2: Convert to fraction form
    11,170.98/16,751.70 = 4,149.81/x
  3. Step 3: Cross multiply
    11,170.98x = 16,751.70 × 4,149.81
  4. Step 4: Simplify right side
    11,170.98x = 69,516,372.18
  5. Step 5: Solve for x
    x = 69,516,372.18/11,170.98
  6. Step 6: Final answer
    x = 6,222.94

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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.