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Finding the Fourth Proportional to 11,284.92, 16,893.36 and 6,075

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Solution

The fourth proportional to 11,284.92, 16,893.36 and 6,075 is: 9,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.92 : 16,893.36 = 6,075 : x
  2. Step 2: Convert to fraction form
    11,284.92/16,893.36 = 6,075/x
  3. Step 3: Cross multiply
    11,284.92x = 16,893.36 × 6,075
  4. Step 4: Simplify right side
    11,284.92x = 102,627,162
  5. Step 5: Solve for x
    x = 102,627,162/11,284.92
  6. Step 6: Final answer
    x = 9,094.19

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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.