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Finding the Fourth Proportional to 6,833.46, 10,251.16 and 3,323.66

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Solution

The fourth proportional to 6,833.46, 10,251.16 and 3,323.66 is: 4,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.46 : 10,251.16 = 3,323.66 : x
  2. Step 2: Convert to fraction form
    6,833.46/10,251.16 = 3,323.66/x
  3. Step 3: Cross multiply
    6,833.46x = 10,251.16 × 3,323.66
  4. Step 4: Simplify right side
    6,833.46x = 34,071,370.45
  5. Step 5: Solve for x
    x = 34,071,370.45/6,833.46
  6. Step 6: Final answer
    x = 4,985.96

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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.