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Finding the Fourth Proportional to 7,628.64, 11,435.62 and 2,945.20

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Solution

The fourth proportional to 7,628.64, 11,435.62 and 2,945.20 is: 4,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.64 : 11,435.62 = 2,945.20 : x
  2. Step 2: Convert to fraction form
    7,628.64/11,435.62 = 2,945.20/x
  3. Step 3: Cross multiply
    7,628.64x = 11,435.62 × 2,945.20
  4. Step 4: Simplify right side
    7,628.64x = 33,680,188.02
  5. Step 5: Solve for x
    x = 33,680,188.02/7,628.64
  6. Step 6: Final answer
    x = 4,414.97

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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.