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Finding the Fourth Proportional to 11,676.62, 17,504.94 and 5,097.98

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Solution

The fourth proportional to 11,676.62, 17,504.94 and 5,097.98 is: 7,642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.62 : 17,504.94 = 5,097.98 : x
  2. Step 2: Convert to fraction form
    11,676.62/17,504.94 = 5,097.98/x
  3. Step 3: Cross multiply
    11,676.62x = 17,504.94 × 5,097.98
  4. Step 4: Simplify right side
    11,676.62x = 89,239,834.02
  5. Step 5: Solve for x
    x = 89,239,834.02/11,676.62
  6. Step 6: Final answer
    x = 7,642.61

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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.