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Finding the Fourth Proportional to 7,609.10, 11,408.76 and 3,225.38

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Solution

The fourth proportional to 7,609.10, 11,408.76 and 3,225.38 is: 4,836.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.10 : 11,408.76 = 3,225.38 : x
  2. Step 2: Convert to fraction form
    7,609.10/11,408.76 = 3,225.38/x
  3. Step 3: Cross multiply
    7,609.10x = 11,408.76 × 3,225.38
  4. Step 4: Simplify right side
    7,609.10x = 36,797,586.33
  5. Step 5: Solve for x
    x = 36,797,586.33/7,609.10
  6. Step 6: Final answer
    x = 4,836.00

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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.