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Finding the Fourth Proportional to 11,383.84, 17,075.75 and 8,889.24

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Solution

The fourth proportional to 11,383.84, 17,075.75 and 8,889.24 is: 13,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.84 : 17,075.75 = 8,889.24 : x
  2. Step 2: Convert to fraction form
    11,383.84/17,075.75 = 8,889.24/x
  3. Step 3: Cross multiply
    11,383.84x = 17,075.75 × 8,889.24
  4. Step 4: Simplify right side
    11,383.84x = 151,790,419.46
  5. Step 5: Solve for x
    x = 151,790,419.46/11,383.84
  6. Step 6: Final answer
    x = 13,333.86

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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.