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Finding the Fourth Proportional to 7,324.77, 10,107.95 and 4,180.80

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Solution

The fourth proportional to 7,324.77, 10,107.95 and 4,180.80 is: 5,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.77 : 10,107.95 = 4,180.80 : x
  2. Step 2: Convert to fraction form
    7,324.77/10,107.95 = 4,180.80/x
  3. Step 3: Cross multiply
    7,324.77x = 10,107.95 × 4,180.80
  4. Step 4: Simplify right side
    7,324.77x = 42,259,317.36
  5. Step 5: Solve for x
    x = 42,259,317.36/7,324.77
  6. Step 6: Final answer
    x = 5,769.37

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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.