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Finding the Fourth Proportional to 10,884.80, 16,299.36 and 7,175.68

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Solution

The fourth proportional to 10,884.80, 16,299.36 and 7,175.68 is: 10,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.80 : 16,299.36 = 7,175.68 : x
  2. Step 2: Convert to fraction form
    10,884.80/16,299.36 = 7,175.68/x
  3. Step 3: Cross multiply
    10,884.80x = 16,299.36 × 7,175.68
  4. Step 4: Simplify right side
    10,884.80x = 116,958,950.82
  5. Step 5: Solve for x
    x = 116,958,950.82/10,884.80
  6. Step 6: Final answer
    x = 10,745.16

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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.