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Finding the Fourth Proportional to 6,843.36, 10,260.77 and 3,140.84

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Solution

The fourth proportional to 6,843.36, 10,260.77 and 3,140.84 is: 4,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.36 : 10,260.77 = 3,140.84 : x
  2. Step 2: Convert to fraction form
    6,843.36/10,260.77 = 3,140.84/x
  3. Step 3: Cross multiply
    6,843.36x = 10,260.77 × 3,140.84
  4. Step 4: Simplify right side
    6,843.36x = 32,227,446.79
  5. Step 5: Solve for x
    x = 32,227,446.79/6,843.36
  6. Step 6: Final answer
    x = 4,709.30

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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.