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Finding the Fourth Proportional to 6,884.38, 10,315.23 and 3,965.14

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Solution

The fourth proportional to 6,884.38, 10,315.23 and 3,965.14 is: 5,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.38 : 10,315.23 = 3,965.14 : x
  2. Step 2: Convert to fraction form
    6,884.38/10,315.23 = 3,965.14/x
  3. Step 3: Cross multiply
    6,884.38x = 10,315.23 × 3,965.14
  4. Step 4: Simplify right side
    6,884.38x = 40,901,331.08
  5. Step 5: Solve for x
    x = 40,901,331.08/6,884.38
  6. Step 6: Final answer
    x = 5,941.18

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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.