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Finding the Fourth Proportional to 10,804.78, 16,196.56 and 5,175.97

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Solution

The fourth proportional to 10,804.78, 16,196.56 and 5,175.97 is: 7,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.78 : 16,196.56 = 5,175.97 : x
  2. Step 2: Convert to fraction form
    10,804.78/16,196.56 = 5,175.97/x
  3. Step 3: Cross multiply
    10,804.78x = 16,196.56 × 5,175.97
  4. Step 4: Simplify right side
    10,804.78x = 83,832,855.23
  5. Step 5: Solve for x
    x = 83,832,855.23/10,804.78
  6. Step 6: Final answer
    x = 7,758.87

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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.