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Finding the Fourth Proportional to 8,268, 11,411.46 and 5,082.30

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Solution

The fourth proportional to 8,268, 11,411.46 and 5,082.30 is: 7,014.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268 : 11,411.46 = 5,082.30 : x
  2. Step 2: Convert to fraction form
    8,268/11,411.46 = 5,082.30/x
  3. Step 3: Cross multiply
    8,268x = 11,411.46 × 5,082.30
  4. Step 4: Simplify right side
    8,268x = 57,996,463.16
  5. Step 5: Solve for x
    x = 57,996,463.16/8,268
  6. Step 6: Final answer
    x = 7,014.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.