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Finding the Fourth Proportional to 11,855.28, 17,770.62 and 5,284.56

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Solution

The fourth proportional to 11,855.28, 17,770.62 and 5,284.56 is: 7,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.28 : 17,770.62 = 5,284.56 : x
  2. Step 2: Convert to fraction form
    11,855.28/17,770.62 = 5,284.56/x
  3. Step 3: Cross multiply
    11,855.28x = 17,770.62 × 5,284.56
  4. Step 4: Simplify right side
    11,855.28x = 93,909,907.63
  5. Step 5: Solve for x
    x = 93,909,907.63/11,855.28
  6. Step 6: Final answer
    x = 7,921.36

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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.