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Finding the Fourth Proportional to 7,230.12, 10,853.80 and 4,309.80

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Solution

The fourth proportional to 7,230.12, 10,853.80 and 4,309.80 is: 6,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.12 : 10,853.80 = 4,309.80 : x
  2. Step 2: Convert to fraction form
    7,230.12/10,853.80 = 4,309.80/x
  3. Step 3: Cross multiply
    7,230.12x = 10,853.80 × 4,309.80
  4. Step 4: Simplify right side
    7,230.12x = 46,777,707.24
  5. Step 5: Solve for x
    x = 46,777,707.24/7,230.12
  6. Step 6: Final answer
    x = 6,469.84

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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.