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Finding the Fourth Proportional to 8,622.83, 12,934.24 and 2,297.71

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Solution

The fourth proportional to 8,622.83, 12,934.24 and 2,297.71 is: 3,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622.83 : 12,934.24 = 2,297.71 : x
  2. Step 2: Convert to fraction form
    8,622.83/12,934.24 = 2,297.71/x
  3. Step 3: Cross multiply
    8,622.83x = 12,934.24 × 2,297.71
  4. Step 4: Simplify right side
    8,622.83x = 29,719,087.34
  5. Step 5: Solve for x
    x = 29,719,087.34/8,622.83
  6. Step 6: Final answer
    x = 3,446.56

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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.