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Finding the Fourth Proportional to 7,704.65, 11,557.79 and 2,509.31

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Solution

The fourth proportional to 7,704.65, 11,557.79 and 2,509.31 is: 3,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.65 : 11,557.79 = 2,509.31 : x
  2. Step 2: Convert to fraction form
    7,704.65/11,557.79 = 2,509.31/x
  3. Step 3: Cross multiply
    7,704.65x = 11,557.79 × 2,509.31
  4. Step 4: Simplify right side
    7,704.65x = 29,002,078.02
  5. Step 5: Solve for x
    x = 29,002,078.02/7,704.65
  6. Step 6: Final answer
    x = 3,764.23

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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.