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Finding the Fourth Proportional to 6,853.92, 10,284.24 and 3,339.84

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Solution

The fourth proportional to 6,853.92, 10,284.24 and 3,339.84 is: 5,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.92 : 10,284.24 = 3,339.84 : x
  2. Step 2: Convert to fraction form
    6,853.92/10,284.24 = 3,339.84/x
  3. Step 3: Cross multiply
    6,853.92x = 10,284.24 × 3,339.84
  4. Step 4: Simplify right side
    6,853.92x = 34,347,716.12
  5. Step 5: Solve for x
    x = 34,347,716.12/6,853.92
  6. Step 6: Final answer
    x = 5,011.40

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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.