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Finding the Fourth Proportional to 7,637.36, 11,441.12 and 3,629.04

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Solution

The fourth proportional to 7,637.36, 11,441.12 and 3,629.04 is: 5,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.36 : 11,441.12 = 3,629.04 : x
  2. Step 2: Convert to fraction form
    7,637.36/11,441.12 = 3,629.04/x
  3. Step 3: Cross multiply
    7,637.36x = 11,441.12 × 3,629.04
  4. Step 4: Simplify right side
    7,637.36x = 41,520,291.20
  5. Step 5: Solve for x
    x = 41,520,291.20/7,637.36
  6. Step 6: Final answer
    x = 5,436.47

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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.