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Finding the Fourth Proportional to 7,732.40, 11,596.18 and 4,447.04

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Solution

The fourth proportional to 7,732.40, 11,596.18 and 4,447.04 is: 6,669.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.40 : 11,596.18 = 4,447.04 : x
  2. Step 2: Convert to fraction form
    7,732.40/11,596.18 = 4,447.04/x
  3. Step 3: Cross multiply
    7,732.40x = 11,596.18 × 4,447.04
  4. Step 4: Simplify right side
    7,732.40x = 51,568,676.31
  5. Step 5: Solve for x
    x = 51,568,676.31/7,732.40
  6. Step 6: Final answer
    x = 6,669.17

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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.