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Finding the Fourth Proportional to 7,230.20, 10,842.10 and 3,335.80

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Solution

The fourth proportional to 7,230.20, 10,842.10 and 3,335.80 is: 5,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.20 : 10,842.10 = 3,335.80 : x
  2. Step 2: Convert to fraction form
    7,230.20/10,842.10 = 3,335.80/x
  3. Step 3: Cross multiply
    7,230.20x = 10,842.10 × 3,335.80
  4. Step 4: Simplify right side
    7,230.20x = 36,167,077.18
  5. Step 5: Solve for x
    x = 36,167,077.18/7,230.20
  6. Step 6: Final answer
    x = 5,002.22

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