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Finding the Fourth Proportional to 7,644.93, 11,466.91 and 2,713.92

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Solution

The fourth proportional to 7,644.93, 11,466.91 and 2,713.92 is: 4,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.93 : 11,466.91 = 2,713.92 : x
  2. Step 2: Convert to fraction form
    7,644.93/11,466.91 = 2,713.92/x
  3. Step 3: Cross multiply
    7,644.93x = 11,466.91 × 2,713.92
  4. Step 4: Simplify right side
    7,644.93x = 31,120,276.39
  5. Step 5: Solve for x
    x = 31,120,276.39/7,644.93
  6. Step 6: Final answer
    x = 4,070.71

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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.