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Finding the Fourth Proportional to 7,732.44, 11,594.10 and 3,046.94

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Solution

The fourth proportional to 7,732.44, 11,594.10 and 3,046.94 is: 4,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.44 : 11,594.10 = 3,046.94 : x
  2. Step 2: Convert to fraction form
    7,732.44/11,594.10 = 3,046.94/x
  3. Step 3: Cross multiply
    7,732.44x = 11,594.10 × 3,046.94
  4. Step 4: Simplify right side
    7,732.44x = 35,326,527.05
  5. Step 5: Solve for x
    x = 35,326,527.05/7,732.44
  6. Step 6: Final answer
    x = 4,568.61

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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.