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Finding the Fourth Proportional to 6,965.46, 10,449.94 and 3,263.38

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Solution

The fourth proportional to 6,965.46, 10,449.94 and 3,263.38 is: 4,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.46 : 10,449.94 = 3,263.38 : x
  2. Step 2: Convert to fraction form
    6,965.46/10,449.94 = 3,263.38/x
  3. Step 3: Cross multiply
    6,965.46x = 10,449.94 × 3,263.38
  4. Step 4: Simplify right side
    6,965.46x = 34,102,090.91
  5. Step 5: Solve for x
    x = 34,102,090.91/6,965.46
  6. Step 6: Final answer
    x = 4,895.88

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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.