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Finding the Fourth Proportional to 7,640.69, 11,462.24 and 3,258.18

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Solution

The fourth proportional to 7,640.69, 11,462.24 and 3,258.18 is: 4,887.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.69 : 11,462.24 = 3,258.18 : x
  2. Step 2: Convert to fraction form
    7,640.69/11,462.24 = 3,258.18/x
  3. Step 3: Cross multiply
    7,640.69x = 11,462.24 × 3,258.18
  4. Step 4: Simplify right side
    7,640.69x = 37,346,049.27
  5. Step 5: Solve for x
    x = 37,346,049.27/7,640.69
  6. Step 6: Final answer
    x = 4,887.79

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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.