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Finding the Fourth Proportional to 8,082.32, 11,160.06 and 5,251.10

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Solution

The fourth proportional to 8,082.32, 11,160.06 and 5,251.10 is: 7,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.32 : 11,160.06 = 5,251.10 : x
  2. Step 2: Convert to fraction form
    8,082.32/11,160.06 = 5,251.10/x
  3. Step 3: Cross multiply
    8,082.32x = 11,160.06 × 5,251.10
  4. Step 4: Simplify right side
    8,082.32x = 58,602,591.07
  5. Step 5: Solve for x
    x = 58,602,591.07/8,082.32
  6. Step 6: Final answer
    x = 7,250.71

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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.