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Finding the Fourth Proportional to 7,609.46, 11,414.90 and 2,991.38

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Solution

The fourth proportional to 7,609.46, 11,414.90 and 2,991.38 is: 4,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.46 : 11,414.90 = 2,991.38 : x
  2. Step 2: Convert to fraction form
    7,609.46/11,414.90 = 2,991.38/x
  3. Step 3: Cross multiply
    7,609.46x = 11,414.90 × 2,991.38
  4. Step 4: Simplify right side
    7,609.46x = 34,146,303.56
  5. Step 5: Solve for x
    x = 34,146,303.56/7,609.46
  6. Step 6: Final answer
    x = 4,487.35

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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.