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Finding the Fourth Proportional to 7,257.60, 10,883.64 and 3,099.60

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Solution

The fourth proportional to 7,257.60, 10,883.64 and 3,099.60 is: 4,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.60 : 10,883.64 = 3,099.60 : x
  2. Step 2: Convert to fraction form
    7,257.60/10,883.64 = 3,099.60/x
  3. Step 3: Cross multiply
    7,257.60x = 10,883.64 × 3,099.60
  4. Step 4: Simplify right side
    7,257.60x = 33,734,930.54
  5. Step 5: Solve for x
    x = 33,734,930.54/7,257.60
  6. Step 6: Final answer
    x = 4,648.22

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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.