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Finding the Fourth Proportional to 7,608.72, 11,414.16 and 2,415.04

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Solution

The fourth proportional to 7,608.72, 11,414.16 and 2,415.04 is: 3,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.72 : 11,414.16 = 2,415.04 : x
  2. Step 2: Convert to fraction form
    7,608.72/11,414.16 = 2,415.04/x
  3. Step 3: Cross multiply
    7,608.72x = 11,414.16 × 2,415.04
  4. Step 4: Simplify right side
    7,608.72x = 27,565,652.97
  5. Step 5: Solve for x
    x = 27,565,652.97/7,608.72
  6. Step 6: Final answer
    x = 3,622.90

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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.