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Finding the Fourth Proportional to 6,965.28, 10,446.03 and 2,580.30

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Solution

The fourth proportional to 6,965.28, 10,446.03 and 2,580.30 is: 3,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.28 : 10,446.03 = 2,580.30 : x
  2. Step 2: Convert to fraction form
    6,965.28/10,446.03 = 2,580.30/x
  3. Step 3: Cross multiply
    6,965.28x = 10,446.03 × 2,580.30
  4. Step 4: Simplify right side
    6,965.28x = 26,953,891.21
  5. Step 5: Solve for x
    x = 26,953,891.21/6,965.28
  6. Step 6: Final answer
    x = 3,869.75

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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.