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Finding the Fourth Proportional to 7,190.40, 10,809.90 and 6,121.20

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Solution

The fourth proportional to 7,190.40, 10,809.90 and 6,121.20 is: 9,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.40 : 10,809.90 = 6,121.20 : x
  2. Step 2: Convert to fraction form
    7,190.40/10,809.90 = 6,121.20/x
  3. Step 3: Cross multiply
    7,190.40x = 10,809.90 × 6,121.20
  4. Step 4: Simplify right side
    7,190.40x = 66,169,559.88
  5. Step 5: Solve for x
    x = 66,169,559.88/7,190.40
  6. Step 6: Final answer
    x = 9,202.49

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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.