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Finding the Fourth Proportional to 8,459.44, 12,687.54 and 2,302

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Solution

The fourth proportional to 8,459.44, 12,687.54 and 2,302 is: 3,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.44 : 12,687.54 = 2,302 : x
  2. Step 2: Convert to fraction form
    8,459.44/12,687.54 = 2,302/x
  3. Step 3: Cross multiply
    8,459.44x = 12,687.54 × 2,302
  4. Step 4: Simplify right side
    8,459.44x = 29,206,717.08
  5. Step 5: Solve for x
    x = 29,206,717.08/8,459.44
  6. Step 6: Final answer
    x = 3,452.56

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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.