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Finding the Fourth Proportional to 7,362.57, 11,043.86 and 3,202.41

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Solution

The fourth proportional to 7,362.57, 11,043.86 and 3,202.41 is: 4,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.57 : 11,043.86 = 3,202.41 : x
  2. Step 2: Convert to fraction form
    7,362.57/11,043.86 = 3,202.41/x
  3. Step 3: Cross multiply
    7,362.57x = 11,043.86 × 3,202.41
  4. Step 4: Simplify right side
    7,362.57x = 35,366,967.70
  5. Step 5: Solve for x
    x = 35,366,967.70/7,362.57
  6. Step 6: Final answer
    x = 4,803.62

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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.