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Finding the Fourth Proportional to 11,454.98, 17,172.71 and 5,212.80

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Solution

The fourth proportional to 11,454.98, 17,172.71 and 5,212.80 is: 7,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.98 : 17,172.71 = 5,212.80 : x
  2. Step 2: Convert to fraction form
    11,454.98/17,172.71 = 5,212.80/x
  3. Step 3: Cross multiply
    11,454.98x = 17,172.71 × 5,212.80
  4. Step 4: Simplify right side
    11,454.98x = 89,517,896.17
  5. Step 5: Solve for x
    x = 89,517,896.17/11,454.98
  6. Step 6: Final answer
    x = 7,814.76

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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.