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Finding the Fourth Proportional to 8,389, 12,583.74 and 2,233

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Solution

The fourth proportional to 8,389, 12,583.74 and 2,233 is: 3,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389 : 12,583.74 = 2,233 : x
  2. Step 2: Convert to fraction form
    8,389/12,583.74 = 2,233/x
  3. Step 3: Cross multiply
    8,389x = 12,583.74 × 2,233
  4. Step 4: Simplify right side
    8,389x = 28,099,491.42
  5. Step 5: Solve for x
    x = 28,099,491.42/8,389
  6. Step 6: Final answer
    x = 3,349.56

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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.