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Finding the Fourth Proportional to 6,856.52, 10,278.76 and 3,296.86

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Solution

The fourth proportional to 6,856.52, 10,278.76 and 3,296.86 is: 4,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.52 : 10,278.76 = 3,296.86 : x
  2. Step 2: Convert to fraction form
    6,856.52/10,278.76 = 3,296.86/x
  3. Step 3: Cross multiply
    6,856.52x = 10,278.76 × 3,296.86
  4. Step 4: Simplify right side
    6,856.52x = 33,887,632.69
  5. Step 5: Solve for x
    x = 33,887,632.69/6,856.52
  6. Step 6: Final answer
    x = 4,942.40

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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.