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Finding the Fourth Proportional to 7,246.44, 10,865.34 and 2,865.96

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Solution

The fourth proportional to 7,246.44, 10,865.34 and 2,865.96 is: 4,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.44 : 10,865.34 = 2,865.96 : x
  2. Step 2: Convert to fraction form
    7,246.44/10,865.34 = 2,865.96/x
  3. Step 3: Cross multiply
    7,246.44x = 10,865.34 × 2,865.96
  4. Step 4: Simplify right side
    7,246.44x = 31,139,629.83
  5. Step 5: Solve for x
    x = 31,139,629.83/7,246.44
  6. Step 6: Final answer
    x = 4,297.23

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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.