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Finding the Fourth Proportional to 7,523.64, 11,286.42 and 2,907

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Solution

The fourth proportional to 7,523.64, 11,286.42 and 2,907 is: 4,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.64 : 11,286.42 = 2,907 : x
  2. Step 2: Convert to fraction form
    7,523.64/11,286.42 = 2,907/x
  3. Step 3: Cross multiply
    7,523.64x = 11,286.42 × 2,907
  4. Step 4: Simplify right side
    7,523.64x = 32,809,622.94
  5. Step 5: Solve for x
    x = 32,809,622.94/7,523.64
  6. Step 6: Final answer
    x = 4,360.87

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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.