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Finding the Fourth Proportional to 8,002.56, 11,040.89 and 5,171.60

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Solution

The fourth proportional to 8,002.56, 11,040.89 and 5,171.60 is: 7,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.56 : 11,040.89 = 5,171.60 : x
  2. Step 2: Convert to fraction form
    8,002.56/11,040.89 = 5,171.60/x
  3. Step 3: Cross multiply
    8,002.56x = 11,040.89 × 5,171.60
  4. Step 4: Simplify right side
    8,002.56x = 57,099,107.26
  5. Step 5: Solve for x
    x = 57,099,107.26/8,002.56
  6. Step 6: Final answer
    x = 7,135.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.