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Finding the Fourth Proportional to 7,609.81, 11,414.72 and 2,415.69

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Solution

The fourth proportional to 7,609.81, 11,414.72 and 2,415.69 is: 3,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.81 : 11,414.72 = 2,415.69 : x
  2. Step 2: Convert to fraction form
    7,609.81/11,414.72 = 2,415.69/x
  3. Step 3: Cross multiply
    7,609.81x = 11,414.72 × 2,415.69
  4. Step 4: Simplify right side
    7,609.81x = 27,574,424.96
  5. Step 5: Solve for x
    x = 27,574,424.96/7,609.81
  6. Step 6: Final answer
    x = 3,623.54

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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.