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Finding the Fourth Proportional to 7,644.79, 11,469.75 and 2,713.38

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Solution

The fourth proportional to 7,644.79, 11,469.75 and 2,713.38 is: 4,070.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.79 : 11,469.75 = 2,713.38 : x
  2. Step 2: Convert to fraction form
    7,644.79/11,469.75 = 2,713.38/x
  3. Step 3: Cross multiply
    7,644.79x = 11,469.75 × 2,713.38
  4. Step 4: Simplify right side
    7,644.79x = 31,121,790.26
  5. Step 5: Solve for x
    x = 31,121,790.26/7,644.79
  6. Step 6: Final answer
    x = 4,070.98

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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.