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Finding the Fourth Proportional to 6,833.32, 10,245.12 and 3,271.36

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Solution

The fourth proportional to 6,833.32, 10,245.12 and 3,271.36 is: 4,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.32 : 10,245.12 = 3,271.36 : x
  2. Step 2: Convert to fraction form
    6,833.32/10,245.12 = 3,271.36/x
  3. Step 3: Cross multiply
    6,833.32x = 10,245.12 × 3,271.36
  4. Step 4: Simplify right side
    6,833.32x = 33,515,475.76
  5. Step 5: Solve for x
    x = 33,515,475.76/6,833.32
  6. Step 6: Final answer
    x = 4,904.71

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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.