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Finding the Fourth Proportional to 7,200.96, 10,782.72 and 6,167.60

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Solution

The fourth proportional to 7,200.96, 10,782.72 and 6,167.60 is: 9,235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.96 : 10,782.72 = 6,167.60 : x
  2. Step 2: Convert to fraction form
    7,200.96/10,782.72 = 6,167.60/x
  3. Step 3: Cross multiply
    7,200.96x = 10,782.72 × 6,167.60
  4. Step 4: Simplify right side
    7,200.96x = 66,503,503.87
  5. Step 5: Solve for x
    x = 66,503,503.87/7,200.96
  6. Step 6: Final answer
    x = 9,235.37

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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.