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Finding the Fourth Proportional to 7,632.36, 11,447.46 and 3,246.48

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Solution

The fourth proportional to 7,632.36, 11,447.46 and 3,246.48 is: 4,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.36 : 11,447.46 = 3,246.48 : x
  2. Step 2: Convert to fraction form
    7,632.36/11,447.46 = 3,246.48/x
  3. Step 3: Cross multiply
    7,632.36x = 11,447.46 × 3,246.48
  4. Step 4: Simplify right side
    7,632.36x = 37,163,949.94
  5. Step 5: Solve for x
    x = 37,163,949.94/7,632.36
  6. Step 6: Final answer
    x = 4,869.26

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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.