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Finding the Fourth Proportional to 7,201.54, 10,786.65 and 3,495.97

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Solution

The fourth proportional to 7,201.54, 10,786.65 and 3,495.97 is: 5,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.54 : 10,786.65 = 3,495.97 : x
  2. Step 2: Convert to fraction form
    7,201.54/10,786.65 = 3,495.97/x
  3. Step 3: Cross multiply
    7,201.54x = 10,786.65 × 3,495.97
  4. Step 4: Simplify right side
    7,201.54x = 37,709,804.80
  5. Step 5: Solve for x
    x = 37,709,804.80/7,201.54
  6. Step 6: Final answer
    x = 5,236.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.