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Finding the Fourth Proportional to 7,409.14, 10,227.68 and 5,517.39

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Solution

The fourth proportional to 7,409.14, 10,227.68 and 5,517.39 is: 7,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.14 : 10,227.68 = 5,517.39 : x
  2. Step 2: Convert to fraction form
    7,409.14/10,227.68 = 5,517.39/x
  3. Step 3: Cross multiply
    7,409.14x = 10,227.68 × 5,517.39
  4. Step 4: Simplify right side
    7,409.14x = 56,430,099.36
  5. Step 5: Solve for x
    x = 56,430,099.36/7,409.14
  6. Step 6: Final answer
    x = 7,616.28

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Why These Related Problems?

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