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Finding the Fourth Proportional to 6,896.64, 10,336.87 and 3,191.05

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Solution

The fourth proportional to 6,896.64, 10,336.87 and 3,191.05 is: 4,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.64 : 10,336.87 = 3,191.05 : x
  2. Step 2: Convert to fraction form
    6,896.64/10,336.87 = 3,191.05/x
  3. Step 3: Cross multiply
    6,896.64x = 10,336.87 × 3,191.05
  4. Step 4: Simplify right side
    6,896.64x = 32,985,409.83
  5. Step 5: Solve for x
    x = 32,985,409.83/6,896.64
  6. Step 6: Final answer
    x = 4,782.82

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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.