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Finding the Fourth Proportional to 7,388.57, 10,198.17 and 4,203.73

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Solution

The fourth proportional to 7,388.57, 10,198.17 and 4,203.73 is: 5,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388.57 : 10,198.17 = 4,203.73 : x
  2. Step 2: Convert to fraction form
    7,388.57/10,198.17 = 4,203.73/x
  3. Step 3: Cross multiply
    7,388.57x = 10,198.17 × 4,203.73
  4. Step 4: Simplify right side
    7,388.57x = 42,870,353.17
  5. Step 5: Solve for x
    x = 42,870,353.17/7,388.57
  6. Step 6: Final answer
    x = 5,802.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.