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Finding the Fourth Proportional to 7,967.51, 11,951.15 and 3,581.87

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Solution

The fourth proportional to 7,967.51, 11,951.15 and 3,581.87 is: 5,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.51 : 11,951.15 = 3,581.87 : x
  2. Step 2: Convert to fraction form
    7,967.51/11,951.15 = 3,581.87/x
  3. Step 3: Cross multiply
    7,967.51x = 11,951.15 × 3,581.87
  4. Step 4: Simplify right side
    7,967.51x = 42,807,414.85
  5. Step 5: Solve for x
    x = 42,807,414.85/7,967.51
  6. Step 6: Final answer
    x = 5,372.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.