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Finding the Fourth Proportional to 6,965.38, 10,449.62 and 3,457.30

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Solution

The fourth proportional to 6,965.38, 10,449.62 and 3,457.30 is: 5,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.38 : 10,449.62 = 3,457.30 : x
  2. Step 2: Convert to fraction form
    6,965.38/10,449.62 = 3,457.30/x
  3. Step 3: Cross multiply
    6,965.38x = 10,449.62 × 3,457.30
  4. Step 4: Simplify right side
    6,965.38x = 36,127,471.23
  5. Step 5: Solve for x
    x = 36,127,471.23/6,965.38
  6. Step 6: Final answer
    x = 5,186.72

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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.