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Finding the Fourth Proportional to 7,863.76, 11,797.68 and 2,933.44

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Solution

The fourth proportional to 7,863.76, 11,797.68 and 2,933.44 is: 4,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.76 : 11,797.68 = 2,933.44 : x
  2. Step 2: Convert to fraction form
    7,863.76/11,797.68 = 2,933.44/x
  3. Step 3: Cross multiply
    7,863.76x = 11,797.68 × 2,933.44
  4. Step 4: Simplify right side
    7,863.76x = 34,607,767.93
  5. Step 5: Solve for x
    x = 34,607,767.93/7,863.76
  6. Step 6: Final answer
    x = 4,400.92

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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.