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Finding the Fourth Proportional to 7,729.94, 11,596.48 and 3,287.60

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Solution

The fourth proportional to 7,729.94, 11,596.48 and 3,287.60 is: 4,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.94 : 11,596.48 = 3,287.60 : x
  2. Step 2: Convert to fraction form
    7,729.94/11,596.48 = 3,287.60/x
  3. Step 3: Cross multiply
    7,729.94x = 11,596.48 × 3,287.60
  4. Step 4: Simplify right side
    7,729.94x = 38,124,513.23
  5. Step 5: Solve for x
    x = 38,124,513.23/7,729.94
  6. Step 6: Final answer
    x = 4,932.06

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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.