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Finding the Fourth Proportional to 7,245.45, 10,867.50 and 2,564.46

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Solution

The fourth proportional to 7,245.45, 10,867.50 and 2,564.46 is: 3,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.45 : 10,867.50 = 2,564.46 : x
  2. Step 2: Convert to fraction form
    7,245.45/10,867.50 = 2,564.46/x
  3. Step 3: Cross multiply
    7,245.45x = 10,867.50 × 2,564.46
  4. Step 4: Simplify right side
    7,245.45x = 27,869,269.05
  5. Step 5: Solve for x
    x = 27,869,269.05/7,245.45
  6. Step 6: Final answer
    x = 3,846.45

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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.