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Finding the Fourth Proportional to 7,704.90, 11,558.67 and 2,439.82

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Solution

The fourth proportional to 7,704.90, 11,558.67 and 2,439.82 is: 3,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.90 : 11,558.67 = 2,439.82 : x
  2. Step 2: Convert to fraction form
    7,704.90/11,558.67 = 2,439.82/x
  3. Step 3: Cross multiply
    7,704.90x = 11,558.67 × 2,439.82
  4. Step 4: Simplify right side
    7,704.90x = 28,201,079.54
  5. Step 5: Solve for x
    x = 28,201,079.54/7,704.90
  6. Step 6: Final answer
    x = 3,660.15

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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.