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Finding the Fourth Proportional to 7,638.92, 11,450.19 and 5,005.43

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Solution

The fourth proportional to 7,638.92, 11,450.19 and 5,005.43 is: 7,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.92 : 11,450.19 = 5,005.43 : x
  2. Step 2: Convert to fraction form
    7,638.92/11,450.19 = 5,005.43/x
  3. Step 3: Cross multiply
    7,638.92x = 11,450.19 × 5,005.43
  4. Step 4: Simplify right side
    7,638.92x = 57,313,124.53
  5. Step 5: Solve for x
    x = 57,313,124.53/7,638.92
  6. Step 6: Final answer
    x = 7,502.78

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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.