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Finding the Fourth Proportional to 7,633.92, 11,448 and 3,938.16

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Solution

The fourth proportional to 7,633.92, 11,448 and 3,938.16 is: 5,905.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.92 : 11,448 = 3,938.16 : x
  2. Step 2: Convert to fraction form
    7,633.92/11,448 = 3,938.16/x
  3. Step 3: Cross multiply
    7,633.92x = 11,448 × 3,938.16
  4. Step 4: Simplify right side
    7,633.92x = 45,084,055.68
  5. Step 5: Solve for x
    x = 45,084,055.68/7,633.92
  6. Step 6: Final answer
    x = 5,905.75

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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.