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Finding the Fourth Proportional to 10,765.41, 16,147.40 and 5,497.12

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Solution

The fourth proportional to 10,765.41, 16,147.40 and 5,497.12 is: 8,245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.41 : 16,147.40 = 5,497.12 : x
  2. Step 2: Convert to fraction form
    10,765.41/16,147.40 = 5,497.12/x
  3. Step 3: Cross multiply
    10,765.41x = 16,147.40 × 5,497.12
  4. Step 4: Simplify right side
    10,765.41x = 88,764,128.28
  5. Step 5: Solve for x
    x = 88,764,128.28/10,765.41
  6. Step 6: Final answer
    x = 8,245.31

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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.