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Finding the Fourth Proportional to 7,245.20, 10,867.80 and 6,564.80

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Solution

The fourth proportional to 7,245.20, 10,867.80 and 6,564.80 is: 9,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.20 : 10,867.80 = 6,564.80 : x
  2. Step 2: Convert to fraction form
    7,245.20/10,867.80 = 6,564.80/x
  3. Step 3: Cross multiply
    7,245.20x = 10,867.80 × 6,564.80
  4. Step 4: Simplify right side
    7,245.20x = 71,344,933.44
  5. Step 5: Solve for x
    x = 71,344,933.44/7,245.20
  6. Step 6: Final answer
    x = 9,847.20

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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.