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Finding the Fourth Proportional to 7,644.33, 11,459.70 and 2,713.32

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Solution

The fourth proportional to 7,644.33, 11,459.70 and 2,713.32 is: 4,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.33 : 11,459.70 = 2,713.32 : x
  2. Step 2: Convert to fraction form
    7,644.33/11,459.70 = 2,713.32/x
  3. Step 3: Cross multiply
    7,644.33x = 11,459.70 × 2,713.32
  4. Step 4: Simplify right side
    7,644.33x = 31,093,833.20
  5. Step 5: Solve for x
    x = 31,093,833.20/7,644.33
  6. Step 6: Final answer
    x = 4,067.57

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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.